Simplify: (2p - q)\(^2\) - (p + q)\(^2\)
A
3p(p - 2q)
B
2p(p - 3q)
C
3p(2p - q)
D
2p(3p - q)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
(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)
Source: Myschool Past Questions Archive (Record #71756)