Simplify: (2p – q)\(^2\) – (p + q)\(^2\)
-
3p(p - 2q)
- 2p(p - 3q)
- 3p(2p - q)
- 2p(3p - q)
The correct answer is: A
Explanation
(2p - q)\(^2\) - (p + q)\(^2\)
Using the difference of two squares
(2p - q)\(^2\) - (p + q)\(^2\) = ( 2p - q + p + q)(2p - q - (p + q))
= 3p(2p - q - p - q) = 3p(p - 2q)