Question

Find the factors.

(14) 5y²z² − 5yz − 360

Answer 1

The factors of 5y²z² − 5yz − 360 are:

$$\begin{gathered} 5y^2{z}^2-5yz-360 \\ =5\left[y^2{z}^2-yz-72\right] \\ =5\left[y^2{z}^2-9yz+8yz-72\right] \\ =5\left[yz\left(yz-9\right)+8\left(yz-9\right)\right] \\ =5\left(yz-9\right)\left(yz+8\right) \end{gathered}$$