factor 3m^2+6m+3 — step-by-step solution

Let's factorize in

ℝ

3 m^{2} + 6 m + 3

We factor out

3

, the greatest common divisor of the coefficients:

3 m^{2} + 6 m + 3

3 \cdot (m^{2} + 2 m + 1)

Recognize the square of a sum:

a^{2} + 2 a b + b^{2} = {(a + b)}^{2}

, with

a = m

and

b = 1

; the cross term is

2 m = 2 m

Factor identified:

{(m + 1)}^{2}

▶Factored expression:

3 \cdot {(m + 1)}^{2}