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

Question

asked Jan 8, 2019 174k views

1 Answer

Hemant Patel · Answer 1 · 2019-01-11T21:49:22+0000

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 :)