Solve the problem.
-$$( x - 11 y ) ( 8 x - 8 y )$$
A) $x ^ { 2 } - 96 x y + 88 y ^ { 2 }$
B) $8 x ^ { 2 } - 96 x y - 96 y ^ { 2 }$
C) $x ^ { 2 } - 96 x y - 96 y ^ { 2 }$
D) $8 x ^ { 2 } - 96 x y + 88 y ^ { 2 }$

Question

Quizplus · Accepted Answer

To solve the given problem, we use the distributive property (also known as FOIL method for binomials): $(a - b)(c - d) = ac - ad - bc + bd$. Applying this to the given expression $(x - 11y)(8x - 8y)$, we get:First, multiply $x$ by $8x$ to get $8x^2$.Outer, multiply $x$ by $-8y$ to get $-8xy$.Inner, multiply $-11y$ by $8x$ to get $-88xy$.Last, multiply $-11y$ by $-8y$ to get $+88y^2$.Combining these, we get $8x^2 - 8xy - 88xy + 88y^2$, which simplifies to $8x^2 - 96xy + 88y^2$. Therefore, the correct answer is D) $8 x ^ { 2 } - 96 x y + 88 y ^ { 2 }$.

Solve the Problem (x−11y)(8x−8y)( x - 11 y ) ( 8 x - 8 y )(x−11y)(8x−8y)

Solve the Problem $( x - 11 y ) ( 8 x - 8 y )$