$[(7 x+3)+2 y]^{2}$
A) $49 x^{2}+28 x y+4 y^{2}$
B) $49 x^{2}+42 x+28 x y+12 y+4 y^{2}$
C) $49 x^{2}+42 x+9+28 x y+12 y+4 y^{2}$
D) $49 x^{2}+21 x+9+14 x y+6 y+4 y^{2}$

Question

Quizplus · Accepted Answer

The expression $[(7x+3)+2y]^{2}$ expands to $(7x+3)^{2} + 2 \times (7x+3) \times 2y + (2y)^{2}$. This results in $49x^{2} + 42x + 9 + 28xy + 12y + 4y^{2}$, which matches option C.

[(7x+3)+2y]2[(7 x+3)+2 y]^{2}[(7x+3)+2y]2 A) 49x2+28xy+4y249 x^{2}+28 x y+4 y^{2}49x2+28xy+4y2 B) 49x2+42x+28xy+12y+4y249 x^{2}+42 x+28 x y+12 y+4 y^{2}49x2+42x+28xy+12y+4y2

$[(7 x+3)+2 y]^{2}$ A) $49 x^{2}+28 x y+4 y^{2}$ B) $49 x^{2}+42 x+28 x y+12 y+4 y^{2}$