Question

(Help now ) please help that will be much appreciated

Answer 1

Answer:

$(2x+3)(2x+3)$

Step-by-step 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 $(2x+3)^2$.