WAEC - Mathematics (2024 - No. 5)

Simplify: (2p - q)\(^2\) - (p + q)\(^2\)

3p(p - 2q)

2p(p - 3q)

3p(2p - q)

2p(3p - q)

(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)