Question

Factorize each of the following expression:
16(2x − 1)² − 25y²

Answer 1

$$\begin{gathered} 16(2x-1{)}^2-25y^2 \\ =[4(2x-1){]}^2-(5y{)}^2 \\ =[4(2x-1)-5y\left]\right[4(2x-1)+5y] \\ =(8x-4-5y\left)\right(8x-4+5y) \\ =(8x-5y-4\left)\right(8x+5y-4) \end{gathered}$$