Question

The factorized form of the expression y² + (x – 1)y – x is ____________.

Answer 1

$$\begin{gathered} y^2+\left(x-1\right)y-x \\ =y^2+xy-y-x \\ =y\left(y+x\right)-1\left(y+x\right) \\ =\left(y-1\right)\left(y+x\right) \end{gathered}$$

Hence, the factorized form of the expression y² + (x – 1)y – x is (y ​– 1)(y + x).