Question

How do you factor completely `9a^2 -24ab + 16b^2`?

Answer 1

`(3a-4b)^2`.

Explanation:

Recall the Expansion Formula `: A^2-2AB+B^2=(A-B)^2`.

Given Expression`=9a^2-24ab+16b^2`

`=(3a)^2-2(3a)(4b)+(4b)^2`

`=(3a-4b)^2`.