Question

What is the factored form of the expression 9x^2+24x+16?

Answer 1

This is the product of the square of a binomial expression. Therefore, it will have two factors.

Square of a binomial: a² + 2ab + b² = (a+b)²

The process:

9x² + 24x + 16

= (3x)² +2(3x)(4) + (4)²

= (3x + 4)² or (3x+4)(3x+4)

I hope this helps :)