What is factor 12mn^2+6m^2n+2m ?

The solution to factor 12mn^2+6m^2n+2m is 2m(6n^2+3mn+1)

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factor 12mn^2+6m^2n+2m

factor

12 m n^{2} + 6 m^{2} n + 2 m

2 m (6 n^{2} + 3 mn + 1)

Solution steps

12 m n^{2} + 6 m^{2} n + 2 m

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{2} n = mm

= 12 m n^{2} + 6 mm + 2 m

Rewrite

6

3 \cdot 2

Rewrite

12

6 \cdot 2

= 6 \cdot 2 m n^{2} + 3 \cdot 2 mm + 2 m

Factor out common term

2 m

= 2 m (6 n^{2} + 3 mn + 1)

- 4 x + 60 < 72

2 a^{2} - 9 a - 5

x^{2} - 10 x - 24

∣ x + 7 ∣ \leq 8

\frac{4 k - 1}{3} - \frac{2 k + 1}{7} > k

What is factor 12mn^2+6m^2n+2m ?
The solution to factor 12mn^2+6m^2n+2m is 2m(6n^2+3mn+1)