Question

(Help now ) please help that will be much appreciated

Answer 1

`(2x+3)(2x+3)`

Explanation:

The given expression is

`4x^2+12x+9`

Here, a=4, b=12, c=9.

Step 1: Multiply
`a\cdot c=4\cdot 9=36`

Step 2: Find the factors of ac that add to b.
`6\cdot 6=36` and
`6+6=12=b` So, two factors of ac are 6 and 6.

Step 3:
`4x^2+6x+6x+9`

Step 4:
`(4x^2+6x)+(6x+9)`

Step 5:
`2x(2x+3)+3(2x+3)`

Step 6:
`(2x+3)(2x+3)`

Therefore, the required factor form is
`(2x+3)(2x+3)`. It can also written as
`(2x+3)^2`.