Question

How do you factor `4x^2+9+12x` using the perfect squares formula?

Answer 1

`(2x+3)^2`

Explanation:

The perfect squares formula says that `a^2+2ab+b^2=(a+b)^2`
You can see `4x^2+9+12x` as `2^2x^2+3^2+(3*2)x=(2x)^2+(3*2)x+3^2`
In this case you have `a=2x`, `b=3` and `2ab=2(2x*3)=(2*2*3)x=12x`