Answer:
(3x+4)(3x+4) is factor of given expression.
B is correct.
Step-by-step explanation:
We are given an expression [tex]9x^2+24x+16[/tex]
Formula: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
First we write each term as perfect square as formula.
[tex]\Rightarrow 9x^2+24x+16[/tex]
[tex]\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2[/tex]
Using formula , a=3x and b=4
[tex]\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2[/tex]
Now we write same number two times.
Hence, (3x+4)(3x+4) is factor of given expression.
