Question

Determine whether 16x^2-24x+9 is a perfect square, if so factor it, if not explain why.?

Answer 1

`16x^2-24x+9` is perfect square due to `(4x-3)^2`

Explanation:

`16x^2-24x+9=(4x)^2+2*4x*(-3)+(-3)^2`

=`(4x-3)^2`

Hence `16x^2-24x+9` is perfect square due to `(4x-3)^2`