Question

Find the factors.

(7) 7x² − 5xy − 18y²

Answer 1

The factors of 7x² − 5xy − 18y² are:

$$\begin{gathered} 7x^2-5xy-18y^2 \\ =7x^2-14xy+9xy-18y^2 \\ =7x\left(x-2y\right)+9y\left(x-2y\right) \\ =\left(x-2y\right)\left(7x+9y\right) \end{gathered}$$