Find the product
-$(p+5 q)(p-5 q)$

A) $p^{2}-10 q^{2}$
B) $p^{2}-10 p q-25 q^{2}$
C) $p^{2}-25 q^{2}$
D) $p^{2}+10 p q-25 q^{2}$

Name: Find the product -$(p+5 q)(p-5 q)$ A) $p^{2}-10 q^{2}$ B) $p^{2}-10 p q-25 q^{2}$ C) $p^{2}-25 q^{2}$ D) $p^{2}+10 p q-25 q^{2}$
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Question

Find the product
-$(p+5 q)(p-5 q)$

A) $p^{2}-10 q^{2}$
B) $p^{2}-10 p q-25 q^{2}$
C) $p^{2}-25 q^{2}$
D) $p^{2}+10 p q-25 q^{2}$

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a+b)(a-b)$, where $a=p$ and $b=5q$. Thus, the product is $p^2 - (5q)^2 = p^2 - 25q^2$.

Find the Product - (p+5q)(p−5q)(p+5 q)(p-5 q)(p+5q)(p−5q) A) p2−10q2p^{2}-10 q^{2}p2−10q2 B) p2−10pq−25q2p^{2}-10 p q-25 q^{2}p2−10pq−25q2

Find the Product
- $(p+5 q)(p-5 q)$ A) $p^{2}-10 q^{2}$ B) $p^{2}-10 p q-25 q^{2}$