Deck 6: Factoring

Question 1

actor out the greatest common factor. Simplify the factors, if possible

- $2 x^{3}+6 x$

A) $2 x\left(x^{2}+4 x\right)$
B) $2 x\left(x^{2}+3 x\right)$
C) $2 x^{2}(x+3)$
D) $2 x\left(x^{2}+3\right)$

Answer 1

$2 x\left(x^{2}+3\right)$

Question 2

actor out the greatest common factor. Simplify the factors, if possible

- $20 w x-12 w y-16 w z$

A) $4 w(5 x-3 y-4 z)$
B) $20 w(x-12 y-16 z)$
C) $4(5 w x-3 w y-4 w z)$
D) $4 w(5 x-12 w y-16 w z)$

Answer 2

$4 w(5 x-3 y-4 z)$

Question 3

actor out the greatest common factor. Simplify the factors, if possible

- $40 x^{8} y^{8}-48 x^{3} y^{6}-56 x^{6} y^{2}$

A) $x^{3} y^{2}\left(40 x^{5} y^{6}-48 y^{4}-56 x^{3}\right)$
B) $8\left(5 x^{8} y^{8}-6 x^{3} y^{6}-7 x^{6} y^{2}\right)$
C) $8 x^{3} y^{2}\left(5 x^{5} y^{6}-6 y^{4}-7 x^{3}\right)$
D) $8 x^{3}\left(5 x^{5} y^{8}-6 y^{6}-7 x^{3} y^{2}\right)$

Answer 3

$8 x^{3} y^{2}\left(5 x^{5} y^{6}-6 y^{4}-7 x^{3}\right)$

Question 4

actor out the greatest common factor. Simplify the factors, if possible

- $2 x(3 x-4)-3(3 x-4)$

A) $(6 x-3)(x-4)$
B) $(6 x+3)(x+4)$
C) $(2 x+3)(3 x+4)$
D) $(2 x-3)(3 x-4)$

Question 5

actor out the greatest common factor. Simplify the factors, if possible

- $t(3-m)+s(3-m)$

A) $(\mathrm{t}+\mathrm{s})(3+\mathrm{m})$
B) $\mathrm{t}(3-\mathrm{m})+\mathrm{s}$
C) $(\mathrm{t}-\mathrm{s})(3-\mathrm{m})$
D) $(\mathrm{t}+\mathrm{s})(3-\mathrm{m})$

Question 6

actor out the greatest common factor. Simplify the factors, if possible

- $5 \mathrm{~m}(2-\mathrm{m})+6 n(2-\mathrm{m})$

A) $(5 m-6 n)(2-m)$
B) $m(5+6 n)(2-m)$
C) $5(m+n)(2-m)$
D) $(5 m+6 n)(2-m)$

Question 7

actor out the greatest common factor. Simplify the factors, if possible

- $(x-6)(x+7)+(x-6)(x+3)$

A) $(x-6)(2 x+10)$
B) $2(x-6)(x+5)$
C) $2(x-6)(2 x+10)$
D) $(x-6)(x+10)$

Question 8

actor out the greatest common factor. Simplify the factors, if possible

- $3(2-x)^{2}-(2-x)^{3}+4(2-x)$

A) $6(2-x)$
B) $(2-x)^{2}(5+x)$
C) $(2-x)\left(6+1 x-x^{2}\right)$
D) $(2-x)\left(6+7 x+x^{2}\right)$

Question 9

actor out the greatest common factor. Simplify the factors, if possible

- $2(m+p)^{3}-12(m+p)^{2}-6(m+p)^{4}$

A) $2(m+p)\left(m+p-6-2 m^{2}-4 m p-2 p^{2}\right)$
B) $2(m+p)^{4}(-9+m+p)$
C) $2(m+p)^{2}\left(m+p-6-3 m^{2}-6 m p-3 p^{2}\right)$
D) $2(m+p)^{2}\left(m+p-6-3 m^{2}+6 m p+3 p^{2}\right)$

Question 10

Factor by grouping.

-11) $7 y+7 a-y^{2}-y a$

A) $(y-a)(7-y)$
B) $(y+a)(7-y)$
C) $(y+a)(7-a)$
D) $(y-a)(7+y)$

Question 11

Factor by grouping.

- $b x+x+b+1$

A) $(b x+1)(x+b)$
B) $(b+1)(x+1)$
C) $(b+1)(x+b)$
D) $(b x+b)(x+1)$

Question 12

Factor by grouping.

- $s m+t m+s b+t b$

A) $(s+b)(m+t)$
B) $(s+t)(m+b)$
C) $(\mathrm{s}+\mathrm{t})(\mathrm{m}+\mathrm{t})$
D) $(\mathrm{s}+\mathrm{m})(\mathrm{t}+\mathrm{b})$

Question 13

Factor by grouping.

- $x^{2}+5 x+9 x+45$

A) $(x-5)(x-9)$
B) $(x+5)(x+9)$
C) $x(x+45)$
D) $(x+5)(x-9)$

Question 14

Factor by grouping.

- $x^{3}+4 x^{2}+2 x+8$

A) $(x-4)\left(x^{3}+2\right)$
B) $(x+2)\left(x^{2}+4\right)$
C) $(x+4 x)\left(x^{2}+2\right)$
D) $(x+4)\left(x^{2}+2\right)$

Question 15

Factor by grouping.

- $x^{3}+7 x^{2}-10 x-70$

A) $\left(x^{2}+7\right)(x-10)$
B) $(x+7)\left(x^{2}-10\right)$
C) $(x+7)\left(x^{3}-10 x\right)$
D) $(x-7)\left(x^{2}-10\right)$

Question 16

Factor by grouping.

- $m^{2} s-m^{2} t-x s+x t$

A) $(s-t)\left(m^{2}+x\right)$
B) $\left(s-m^{2}\right)(t-x)$
C) $(s-t)\left(m^{2}-x\right)$
D) $(s-x)\left(m^{2}-t\right)$

Question 17

Factor by grouping.

- $3-3 t+t^{2}-t^{3}$

A) $(1+t)\left(3-t^{2}\right)$
B) $(1-t)\left(3+t^{2}\right)$
C) $(3-t)\left(1+t^{2}\right)$
D) $(3+t)\left(1-t^{2}\right)$

Question 18

Factor by grouping.

- $14 r^{2}+63 r y-2 x r-9 x y$

A) $(2 r+9 y)(7 r-x)$
B) $(9 r+2 y)(7 r-x)$
C) $(2 r+9 y)(x-7 r)$
D) $(2 r+9 y)(7 x-r)$

Question 19

Factor by grouping.

- $8 y x+9 x+48 y+54$

A) $(8 y+6)(x+9)$
B) $(8 y+1)(x+54)$
C) $(y+9)(8 x+6)$
D) $(8 y+9)(x+6)$

Question 20

Factor out the variable that is raised to the smaller exponent

- $7 x^{-8}+x^{-2}$

A) $x^{-8}\left(7-x^{6}\right)$
B) $x^{-8}\left(7-x^{-6}\right)$
C) $x^{-8}\left(7+x^{6}\right)$
D) $x^{-8}\left(7+x^{-6}\right)$

Question 21

Factor out the variable that is raised to the smaller exponent

- $x^{-6}-7 x^{-9}$

A) $x^{-9}\left(7 x^{3}\right)$
B) $x^{-9}\left(x^{3}-7\right)$
C) $x^{-9}\left(x^{3}+7\right)$
D) $x^{-9}\left(x^{-3}-7\right)$

Question 22

Factor out the variable that is raised to the smaller exponent

- $x^{-7}+6 x^{-2}$

A) $x^{-7}\left(1+6 x^{5}\right)$
B) $x^{-7}\left(1+6 x^{-5}\right)$
C) $x^{-7}\left(6 x^{5}\right)$
D) $x^{-7}\left(x+6 x^{5}\right)$

Question 23

Factor out the variable that is raised to the smaller exponent

- $x^{-9}-7 x^{-4}$

A) $x^{-9}\left(1-7 x^{5}\right)$
B) $x^{-9}\left(1+7 x^{-5}\right)$
C) $x^{-9}\left(1+7 x^{5}\right)$
D) $x^{-9}\left(-1+7 x^{5}\right)$

Question 24

Factor out the variable that is raised to the smaller exponent

- $-5 x^{-2}+x^{2}$

A) $x^{-2}\left(-5+x^{-2}\right)$
B) $x^{-2}\left(-5+x^{4}\right)$
C) $x^{-2}\left(5-x^{4}\right)$
D) $x^{-2}\left(-5+x^{-4}\right)$

Question 25

Decide if the expression is factored

- $x^{2}+20 x$

Question 26

Decide if the expression is factored

- $8 m-9 m^{2}$

Question 27

Decide if the expression is factored

- $3(m-2)+n(m-2)$

Question 28

Decide if the expression is factored

- $3 \mathrm{k}(5 \mathrm{k}-\mathrm{p})$

Question 29

Decide if the expression is factored

- $(7 x+5 y)(7 x-5 y)$

Question 30

Decide if the expression is factored

- $(4+7 p)(3 p-1)$

Question 31

Factor the trinomial completely.

- $x^{2}+4 x y-21 y^{2}$

A) $(x-7 y)(x+3 y)$
B) $(x-y)(x+3 y)$
C) $(x-7 y)(x+y)$
D) $(x+7 y)(x-3 y)$

Question 32

Factor the trinomial completely.

- $-x^{2}-2 x+63$

A) $-(x-7)(x+9)$
B) Prime
C) $-(x-7)(x-9)$
D) $(x+7)(x-9)$

Question 33

Factor the trinomial completely.

- $\mathrm{u}^{2}-2 \mathrm{uv}-15 \mathrm{v}^{2}$

A) $(u-v)(u+5 v)$
B) $(u-3 v)(u+5 v)$
C) $(u-3 v)(u+v)$
D) $(u+3 v)(u-5 v)$

Question 34

Factor the trinomial completely.

- $x^{2}+3 x y-154 y^{2}$

A) Prime
B) $(x-14 y)(x+y)$
C) $(x-14 y)(x+11 y)$
D) $(x+14 y)(x-11 y)$

Question 35

Factor the trinomial completely.

- $-m^{2}+5 m+50$

A) $(10-m)(m-5)$
B) Prime
C) $(10-m)(m+5)$
D) $(m+10)(m-5)$

Question 36

Factor the trinomial completely.

- $x^{2} y^{2}+12 x y+35$

A) $(x y-7)(x y-5)$
B) $(x y+7)(x y-5)$
C) $\left(x^{2}+7\right)\left(y^{2}+5\right)$
D) $(x y+7)(x y+5)$

Question 37

Factor the trinomial completely.

- $s^{2} t^{2}-7 s t+47$

A) $(s t-47)(s t-1)$
B) $(s t+47)(s t-1)$
C) Prime
D) $(s t-47)(s t+1)$

Question 38

Factor the trinomial completely.

- $-x^{2}+2 x+8$

A) $-(x+4)(x-2)$
B) $-(x-4)(x+2)$
C) $-(x-4)(x-2)$
D) $-(x+4)(x+2)$

Question 39

Factor the trinomial completely.

- $20 y^{2}+27 y+9$

A) $(20 y+3)(y+3)$
B) $(20 y+1)(y-9)$
C) $(4 y+3)(5 y+3)$
D) $(4 y-3)(5 y-3)$

Question 40

Factor the trinomial completely.

- $-25 x^{2}+30 x+16$

A) $-(5 x+2)(5 x-8)$
B) $(5 x+2)(5 x+8)$
C) $-(5 x-2)(5 x-8)$
D) $-(5 x-2)(5 x+8)$

Question 41

Factor the trinomial completely.

- $10 z^{2}-11 z-6$

A) $(10 z-3)(z+2)$
B) $(10 z-3)(z-6)$
C) $(2 z-3)(5 z+2)$
D) $(2 z+3)(5 z-2)$

Question 42

Factor the trinomial completely.

- $88 m^{2}+153 m n+44 n^{2}$

A) $\left(8 m+11 n^{2}\right)(11 m+4)$
B) $(8 m-11 n)(11 m-4 n)$
C) $(8 m+11 n)(11 m+4 n)$
D) $(8 m+4 n)(11 m+11 n)$

Question 43

Factor the trinomial completely.

- $40 m^{2} n^{2}-41 m n+10$

A) $\left(8 m^{2}-5\right)\left(5 n^{2}-2\right)$
B) $(8 m n+5)(5 m n+2)$
C) $(8 \mathrm{mn}-5)(5 \mathrm{mn}+2)$
D) $(8 m n-5)(5 m n-2)$

Question 44

Factor the trinomial completely.

- $-49 x^{2}-14 x+15$

A) $(7 x+5)(7 x+3)$
B) $-(7 x-5)(7 x+3)$
C) $-(7 x-5)(7 x-3)$
D) $-(7 x+5)(7 x-3)$

Question 45

Factor the trinomial completely.

- $3 x^{2}-9 x y-12 y^{2}$

A) $(3 x-3 y)(x+4 y)$
B) $3(x+y)(x-4 y)$
C) $3(x-y)(x+4 y)$
D) $(x-y)(3 x+9 y)$

Question 46

Factor the trinomial completely.

- $2 x^{2}-12 x+16$

A) $(2 x-4)(x-4)$
B) $2(x-2)(x-4)$
C) $2(x-8)(x+1)$
D) $(x-2)(2 x-8)$

Question 47

Factor the trinomial completely.

- $3 x^{3}+3 x^{2} y-60 x y^{2}$

A) $3 x(x-4 y)(x+5 y)$
B) $3 x(x+4 y)(x-5 y)$
C) $(x-4 y)\left(3 x^{2}+15 x y\right)$
D) $\left(3 x^{2}+12 x y\right)(x-5 y)$

Question 48

Factor the trinomial completely.

- $4 x^{3}+4 x^{2}-48 x$

A) $4 x(x+3)(x-4)$
B) $4 x(x-3)(x+4)$
C) $\left(4 x^{2}+12 x\right)(x-4)$
D) $(x-3)\left(4 x^{2}+16\right)$

Question 49

Factor the trinomial completely.

- $6 x^{2}-21 x-12$

A) $(2 x-1)(3 x+12)$
B) $3(2 x+1)(x-4)$
C) $(6 x-3)(x+4)$
D) $3(2 x-1)(x+4)$

Question 50

Factor the trinomial completely.

- $-36 x^{2}-30 x+36$

A) $(-18 x+12)(2 x+3)$
B) $6(3 x+2)(-2 x+3)$
C) $(-3 x+2)(12 x+18)$
D) $-6(3 x-2)(2 x+3)$

Question 51

Factor the trinomial completely.

- $-2 x^{3}-10 x^{2}+28 x$

A) $2 x(x+2)(x+7)$
B) $-2 x(x+2)(x-7)$
C) $-2 x(x-2)(x+7)$
D) $-2 x^{2}(x-2)(x-7)$

Question 52

Factor the trinomial completely.

- $-2 x^{2}-2 x+84$

A) $-2(x+6)(x-7)$
B) $2(x-6)(x+7)$
C) $-2(x-6)(x+7)$
D) $-2(x+6)(x+7)$

Question 53

Factor the trinomial completely.

- $10 y^{4}-19 y^{2}-15$

A) $\left(10 y^{2}-5\right)\left(y^{2}+3\right)$
B) $(5 y-3)(2 y+5)$
C) $\left(2 y^{2}-5\right)\left(5 y^{2}+3\right)$
D) $\left(2 y^{2}+1\right)\left(5 y^{2}-15\right)$

Question 54

Factor the trinomial completely.

- $9 z^{6}-6 z^{3}-8$

A) $\left(3 z^{3}+1\right)\left(3 z^{3}-8\right)$
B) $\left(3 z^{3}+2\right)\left(3 z^{3}-4\right)$
C) $\left(3 z^{3}+4\right)\left(3 z^{3}-2\right)$
D) $9\left(z^{3}-4\right)\left(z^{3}+2\right)$

Question 55

Factor the trinomial completely.

- $8 z^{4}-6 z^{2}-9$

A) $\left(2 z^{2}+3\right)\left(4 z^{2}-3\right)$
B) $\left(4 z^{4}+3\right)(2 z-3)$
C) $\left(2 z^{4}+3\right)(4 z-3)$
D) $\left(4 z^{2}+3\right)\left(2 z^{2}-3\right)$

Question 56

Factor the trinomial completely.

- $60 z^{6}-16 z^{4}-16 z^{2}$

A) $\left(12 z^{3}-8\right)\left(5 z^{3}+2\right)$
B) $4 z^{2}\left(3 z^{2}-2\right)\left(5 z^{2}+2\right)$
C) $4 z^{2}\left(5 z^{2}-2\right)\left(3 z^{2}+2\right)$
D) $4\left(3 z^{4}-2\right)\left(5 z^{2}+2\right)$

Question 57

Factor the trinomial completely.

- $60 z^{8}-56 z^{5}-32 z^{2}$

A) $4 z^{2}\left(5 z^{3}-2\right)\left(3 z^{3}+4\right)$
B) $4\left(3 z^{6}-4\right)\left(5 z^{2}+2\right)$
C) $4 z^{2}\left(3 z^{3}-4\right)\left(5 z^{3}+2\right)$
D) $\left(3 z^{4}+3\right)\left(5 z^{4}+2\right)$

Question 58

Factor the trinomial completely.

- $15(\mathrm{p}+2)^{2}+14(\mathrm{p}+2)+3$

A) $(3 p+9)(5 p+11)$
B) $(3 p+1)(5 p+3)$
C) $(3 p+3)(5 p+5)$
D) $(3 p+7)(5 p+13)$

Question 59

Factor the trinomial completely.

- $a^{2}(a+b)^{2}-a b(a+b)^{2}-30 b^{2}(a+b)^{2}$

A) $(a+b)^{2}(a-6)(a+5)$
B) $(a+b)^{2}(a-5 b)(a+6 b)$
C) $(a+b)^{2}(a-6 b)(a+5 b)$
D) $(a-6 b)(a+5 b)(a+b)$

Question 60

Factor the polynomial completely

- $81 \mathrm{k}^{2}-25 \mathrm{~m}^{2}$

A) $(81 \mathrm{k}+\mathrm{m})(\mathrm{k}-25 \mathrm{~m})$
B) $(9 k-5 m)^{2}$
C) $(9 k+5 m)^{2}$
D) $(9 k+5 m)(9 k-5 m)$

Question 61

Factor the polynomial completely

- $9 y^{4}-4$

A) $\left(3 y^{2}+2\right)^{2}$
B) $\left(3 y^{2}-2\right)^{2}$
C) $\left(9 y^{2}+1\right)\left(y^{2}-4\right)$
D) $\left(3 y^{2}+2\right)\left(3 y^{2}-2\right)$

Question 62

Factor the polynomial completely

- $49 s^{2}-81 t^{4}$

A) $\left(7 s-9 t^{2}\right)^{2}$
B) $\left(7 s+9 t^{2}\right)^{2}$
C) $\left(49 \mathrm{~s}+\mathrm{t}^{2}\right)\left(\mathrm{s}-81 \mathrm{t}^{2}\right)$
D) $\left(7 \mathrm{~s}+9 \mathrm{t}^{2}\right)\left(7 \mathrm{~s}-9 \mathrm{t}^{2}\right)$

Question 63

Factor the polynomial completely

- $147 a^{4}-48 b^{2}$

A) $3\left(7 a^{2}+4 b\right)\left(7 a^{2}-4 b\right)$
B) $3\left(7 a^{2}-4 b\right)^{2}$
C) $\left(21 a^{2}+12 b\right)\left(7 a^{2}-4 b\right)$
D) $3\left(7 a^{2}+4 b\right)^{2}$

Question 64

Factor the polynomial completely

- $50 a^{4} b-72 b^{3}$

A) $2 b\left(5 a^{2}+6 b\right)\left(5 a^{2}-6 b\right)$
B) $2 b(5 a+6 b)^{2}$
C) $2 b(5 a-6 b)^{2}$
D) $(10 a+12 b)\left(5 a b-6 b^{2}\right)$

Question 65

Factor the polynomial completely

- $9 x^{2}+25$

A) $(3 x-5)^{2}$
B) $(3 x+5)(3 x-5)$
C) Prime
D) $(3 x+5)^{2}$

Question 66

Factor the polynomial

- $9 x^{2}+48 x y+64 y^{2}$

A) $(9 x+1)(x+64)$
B) $(3 x+8 y)^{2}$
C) $(3 x+8 y)(3 x-8 y)$
D) $(3 x-8 y)^{2}$

Question 67

Factor the polynomial

- $x^{2}+8 x y+16 y^{2}$

A) $(x+4 y)^{2}$
B) $(x-4 y)^{2}$
C) $(x+4)^{2}$
D) $(x-4 y)(x+4 y)$

Question 68

Factor the polynomial

- $r^{2}+2 r s+s^{2}-16$

A) $\left(r^{2}+4\right)\left(s^{2}-4\right)$
B) $(\mathrm{r}-\mathrm{s}+4)(\mathrm{r}-\mathrm{s}-4)$
C) $(\mathrm{r}+\mathrm{s}+4)(\mathrm{r}-\mathrm{s}-4)$
D) $(\mathrm{r}+\mathrm{s}+4)(\mathrm{r}+\mathrm{s}-4)$

Question 69

Factor the polynomial

- $9 x^{2}-6 x+1-y^{2}$

A) $(3 x+1+y)(3 x+1-y)$
B) $(3 x-1+y)(3 x-1-y)$
C) Prime
D) $(3 x-1+y)(3 x+1-y)$

Question 70

Factor the polynomial

- $3 c^{2}+6 c d+3 d^{2}-75 f^{2}$

A) $3(c+d+5 f)(c+d-5 f)$
B) $(c+d+5 f)(c+d-5 f)$
C) $\left((c+d)^{2}+5 f\right)\left((c+d)^{2}-5 f\right)$
D) $3\left((c+d)^{2}+5 f\right)\left((c+d)^{2}-5 f\right)$

Question 71

Factor the polynomial completely

- $x^{3}-512$

A) $(x-8)\left(x^{2}+64\right)$
B) $(x-8)\left(x^{2}+8 x+64\right)$
C) $(x+8)\left(x^{2}-8 x+64\right)$
D) $(x+512)\left(x^{2}-1\right)$

Question 72

Factor the polynomial completely

- $1000 y^{3}-729$

A) $(10 y-9)\left(100 y^{2}+90 y+81\right)$
B) $(10 y+9)\left(100 y^{2}-90 y+81\right)$
C) $(1000 y-9)\left(y^{2}+90 y+81\right)$
D) $(10 y-9)\left(100 y^{2}+81\right)$

Question 73

Factor the polynomial completely

- $8 a^{3}-27 b^{3}$

A) $(2 a-3 b)\left(4 a^{2}+9 b^{2}\right)$
B) $(2 a-3 b)\left(4 a^{2}+6 a b+9 b^{2}\right)$
C) $\left(2 a+3 b^{2}\right)\left(4 a^{2}-6 a b+9 b^{2}\right)$
D) $(8 a-3 b)\left(a^{2}+6 a b+9 b^{2}\right)$

Question 74

Factor the polynomial completely

- $24 k^{3} m-81 m^{4}$

A) $3 m(2 k-3 m)\left(4 k^{2}+6 k m+9 m^{2}\right)$
B) $3 m(8 k-3 m)\left(k^{2}+6 k m+9 m^{2}\right)$
C) $\left(6 \mathrm{~km}-9 \mathrm{~m}^{2}\right)\left(4 \mathrm{k}^{2}+9 \mathrm{~m}^{2}\right)$
D) $3 \mathrm{~m}\left(2 \mathrm{k}+3 \mathrm{~m}^{2}\right)\left(4 \mathrm{k}^{2}-6 \mathrm{~km}+9 \mathrm{~km}^{2}\right)$

Question 75

Factor the polynomial completely

- $t^{3}+216$

A) $(t+6)\left(t^{2}+36\right)$
B) $(t+6)\left(t^{2}-6 t+36\right)$
C) $(t-216)\left(t^{2}-1\right)$
D) $(t-6)\left(t^{2}+6 t+36\right)$

Question 76

Factor the polynomial completely

- $8 c^{3}+27$

A) $(2 c-3)\left(4 c^{2}+6 c+9\right)$
B) $(8 c+3)\left(c^{2}-6 c+9\right)$
C) $(2 c+3)\left(4 c^{2}-6 c+9\right)$
D) $(2 c+3)\left(4 c^{2}+9\right)$

Question 77

Factor the polynomial completely

- $9 x^{2}-24 x+16-y^{2}$

A) $(3 x-4+y)(3 x-4-y)$
B) $(3 x-4+y)(3 x+4-y)$
C) $(3 x+4+y)(3 x+4-y)$
D) Prime

Question 78

Factor the polynomial completely

- $(m-n)^{2}-8(m-n)+16$

A) $(m-n-4)^{2}$
B) $(\mathrm{m}-\mathrm{n}-4)(\mathrm{m}-\mathrm{n}+4)$
C) $(\mathrm{m}-\mathrm{n}-16)(\mathrm{m}-\mathrm{n})$
D) Prime

Question 79

Factor the polynomial completely

- $36-(m+2 n)^{2}$

A) $(6+m+2 n)(6-m+2 n)$
B) $(6+m+2 n)(6-m-2 n)$
C) $(6-m-2 n)(-6-m-2 n)$
D) $(36+m+2 n)(36-m-2 n)$

Question 80

Factor the polynomial completely

- $(x-2 y)^{2}-49$

A) $(x+2 y+7)(x-2 y-7)$
B) $(x-2 y+49)(x-2 y-49)$
C) $\left(x^{2}-2 y+7\right)\left(x^{2}-2 y-7\right)$
D) $(x-2 y+7)(x-2 y-7)$