Question

Factorize the following:
x²yz + xy²z + xyz²

Answer 1

$$\begin{gathered} Thegreatestcommonfactoroftheterms{x}^{2}yz,x{y}^{2}zandxy{z}^{2}oftheexpression{x}^{2}yz+x{y}^{2}z+xy{z}^{2}isxyz. \\ Also,wecanwrite{x}^{2}yz=xyz\times x,x{y}^{2}z=xyz\times yandxy{z}^2=xyz\times z. \\ \therefore x^{2}yz+x{y}^{2}z+xy{z}^2=xyz\times x+xyz\times y+xyz\times z \\ =xyz(x+y+z) \end{gathered}$$