Question

Factorize the following algebraic expression:

$9a^2-24ab+16b^2$

Answer 1

Given: $9a^2-24ab+16b^2$

$=(3a{)}^2-2(3a\left)\right(4b)+(4b{)}^2$

Using the formula, $(x-y{)}^2=x^2-2xy+y^2$

$=(3a-4b{)}^2$

$=(3a-4b)(3a-4b)$

$\therefore 9a^2-24b+16b^2=(3a-4b)(3a-4b)$