m^2 + 12 m + 36: factorise
Answers
Answer:
(m+6) (m+6)
Step-by-step explanation:
m²+6m+6m+36
m(m+6) +6(m+6)
(m+6) (m+6)
Step-by-step explanation:
Simplifying
m2 + 12m + 36 = 0
Reorder the terms:
36 + 12m + m2 = 0
Solving
36 + 12m + m2 = 0
Solving for variable 'm'.
Factor a trinomial.
(6 + m)(6 + m) = 0
Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:
Simplifying
6 + m = 0
Solving
6 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6
Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6
Combine like terms: 0 + -6 = -6
m = -6
Simplifying
m = -6
Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve:
Simplifying
6 + m = 0
Solving
6 + m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6
Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6
Combine like terms: 0 + -6 = -6
m = -6
Simplifying
m = -6
Solution
m = {-6, -6}