Question

Factorize each of the following expressions:

$16x^2-25y^2$

Answer 1

Given: $16x^2-25y^2$

$\therefore 16x^2-25y^2$
$=(4x{)}^2-(5y{)}^2$
$=(4x+5y)(4x-5y)[\because a^2-b^2=(a+b\left)\right(a-b\left)\right]$

Hence, $16x^2-25y^2=(4x+5y)(4x-5y)$.