Question

What is the completely factored from of 9x2+24x+16

Answer 1

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression $9x^2+24x+16$

Formula: $a^2+2ab+b^2=(a+b)^2$

First we write each term as perfect square as formula.

$\Rightarrow 9x^2+24x+16$

$\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2$

Using formula , a=3x and b=4

$\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2$

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.