Question

Factorize each of the following algebraic expressions:
−4(x − 2y)² + 8(x −2y)

Answer 1

$$\begin{gathered} -4(x-2y{)}^2+8(x-2y) \\ =[-4(x-2y)+8\left]\right(x-2y)[Taking(x-2y)asthecommonfactor] \\ =4[-(x-2y)+2\left]\right(x-2y)\{Taking4asthecommonfactorof[-4(x-2y)+8]\} \\ =4(2y-x+2\left)\right(x-2y) \end{gathered}$$