Respuesta :

Answer: Choice A which is (m+6)^2

Explanation:

Think of two numbers that multiply to 36 and add to 12. Those two numbers are 6 and 6

6+6 = 12

6*6 = 36

So we can factor it into (m+6)(m+6). Use the FOIL rule to expand it out to get m^2+12m+36 back again.

The expression (m+6)(m+6) is the same as (m+6)^2

The factors of the equation are [tex]\rm (m+6)^2[/tex], the correct option is A.

Given that

Equation; [tex]\rm m^2 + 12m+36[/tex]

Factors of the quadratic equation;

The quadratic formula is a formula in elementary algebra that provides the solution (s) to a quadratic equation.

The factors of the given equation are;

[tex]\rm m^2 + 12m+36\\\\m^2+6m+6m+36\\\\m(m+6)+6(m+6)\\\\(m+6)(m+6)\\\\(m+6)^2[/tex]

Hence, the factors of the equation are [tex]\rm (m+6)^2[/tex].

To know more about factors click the link given below.

https://brainly.com/question/3423041