Multiply.
-$\left( x ^ { 2 } + 5 y \right) \left( x ^ { 2 } - 5 y \right)$
A) $x ^ { 4 } + 10 x ^ { 2 } y - 25 y ^ { 2 }$
B) $x ^ { 4 } - 25 y ^ { 2 }$
C) $x ^ { 4 } - 10 x ^ { 2 } y - 25 y ^ { 2 }$
D) $x ^ { 4 } - 10 y ^ { 2 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$, where $a = x^2$ and $b = 5y$. So, $(x^2 + 5y)(x^2 - 5y) = x^4 - (5y)^2 = x^4 - 25y^2$.

Multiply - (x2+5y)(x2−5y)\left( x ^ { 2 } + 5 y \right) \left( x ^ { 2 } - 5 y \right)(x2+5y)(x2−5y)

Multiply
- $\left( x ^ { 2 } + 5 y \right) \left( x ^ { 2 } - 5 y \right)$