Find the product
-$[(3 x-y)+2 z][(3 x-y)-2 z]$

A) $9 x^{2}-6 x y+y^{2}+12 x z+4 y z-4 z^{2}$
B) $9 x^{2}+y^{2}-4 z^{2}$
C) $9 x^{2}+y^{2}+12 x z+4 y z-4 z^{2}$
D) $9 x^{2}-6 x y+y^{2}-4 z^{2}$

Question

Find the product
-$[(3 x-y)+2 z][(3 x-y)-2 z]$

A) $9 x^{2}-6 x y+y^{2}+12 x z+4 y z-4 z^{2}$
B) $9 x^{2}+y^{2}-4 z^{2}$
C) $9 x^{2}+y^{2}+12 x z+4 y z-4 z^{2}$
D) $9 x^{2}-6 x y+y^{2}-4 z^{2}$

Quizplus · Accepted Answer

This is a difference of squares problem, which follows the formula $a^2 - b^2 = (a+b)(a-b)$. Applying this to the given expression, we get $(3x-y)^2 - (2z)^2 = 9x^2 - 6xy + y^2 - 4z^2$.

Find the Product - [(3x−y)+2z][(3x−y)−2z][(3 x-y)+2 z][(3 x-y)-2 z][(3x−y)+2z][(3x−y)−2z] A) 9x2−6xy+y2+12xz+4yz−4z29 x^{2}-6 x y+y^{2}+12 x z+4 y z-4 z^{2}9x2−6xy+y2+12xz+4yz−4z2

Find the Product
- $[(3 x-y)+2 z][(3 x-y)-2 z]$ A) $9 x^{2}-6 x y+y^{2}+12 x z+4 y z-4 z^{2}$