Question

Factorize each of the following expression:
x⁴ − (2y − 3z)²

Answer 1

$$\begin{gathered} {\mathrm{x}}^4-(2\mathrm{y}-3\mathrm{z}{)}^2 \\ =({\mathrm{x}}^2{)}^2-(2\mathrm{y}-3\mathrm{z}{)}^2 \\ =[{\mathrm{x}}^2-(2\mathrm{y}-3\mathrm{z})\left]\right[{\mathrm{x}}^2+(2\mathrm{y}-3\mathrm{z})] \\ =({\mathrm{x}}^2-2\mathrm{y}+3\mathrm{z}\left)\right({\mathrm{x}}^2+2\mathrm{y}-3\mathrm{z}) \end{gathered}$$