Multiply the expressions. $$[ ( 4 x + 4 ) + y ] [ ( 4 x + 4 ) - y ]$$
A) $16 x ^ { 2 } + 32 x + 16 - y ^ { 2 }$
B) $16 x ^ { 2 } + 16 - y ^ { 2 }$
C) $16 x ^ { 2 } + 64 x + 16 - y ^ { 2 }$
D) $16 x ^ { 2 } + 32 x + 8 x y + 16 + 7 y ^ { 2 }$

Question

Quizplus · Accepted Answer

This problem uses the formula for the difference of squares, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = 4x + 4$ and $b = y$, so the expression simplifies to $(4x + 4)^2 - y^2$, which further simplifies to $16x^2 + 32x + 16 - y^2$.

Multiply the Expressions [(4x+4)+y][(4x+4)−y][ ( 4 x + 4 ) + y ] [ ( 4 x + 4 ) - y ][(4x+4)+y][(4x+4)−y]

Multiply the Expressions $[ ( 4 x + 4 ) + y ] [ ( 4 x + 4 ) - y ]$