Question

Find the factors.

(10) 7p² + 18pq − 9q²

Answer 1

The factors of 7p² + 18pq − 9q² are:

$$\begin{gathered} 7p^2+18pq-9q^2 \\ =7p^2+21pq-3pq-9q^2 \\ =7p\left(p+3q\right)-3q\left(p+3q\right) \\ =\left(p+3q\right)\left(7p-3q\right) \end{gathered}$$