Multiply.
-(5y + x)(5y - x)
A) $25 y ^ { 2 } - 10 x y - x ^ { 2 }$
B) $10 y ^ { 2 } - x ^ { 2 }$
C) $25 y ^ { 2 } - x ^ { 2 }$
D) $25 y ^ { 2 } + 10 x y - x ^ { 2 }$

Name: Multiply. -(5y + x)(5y - x) A) $25 y ^ { 2 } - 10 x y - x ^ { 2 }$ B) $10 y ^ { 2 } - x ^ { 2 }$ C) $25 y ^ { 2 } - x ^ { 2 }$ D) $25 y ^ { 2 } + 10 x y - x ^ { 2 }$
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Question

Quizplus · Accepted Answer

This is a special product known as the difference of squares: $(a + b)(a - b) = a^2 - b^2$. Here, $a = 5y$ and $b = x$, so the product is $25y^2 - x^2$.

Multiply -(5y + X)(5y - X) A) 25y2−10xy−x225 y ^ { 2 } - 10 x y - x ^ { 2 }25y2−10xy−x2

Multiply
-(5y + X)(5y - X)
A) $25 y ^ { 2 } - 10 x y - x ^ { 2 }$