Question

What is the factored form of the expression?

16x^2 + 24x + 9

Answer 1

The factor form of the given expression is
`(4x+3)^2`.

Explanation:

The given expression is

`16x^2+24x+9`

The middle term can be written as
`12x+12x`.

`16x^2+12x+12x+9`

`4x(4x+3)+3(4x+3)`

`(4x+3)(4x+3)`

`(4x+3)^2`

Therefore the factor form of the given expression is
`(4x+3)^2`.