What is factor 6m^3-12mn+m^2n-2n^2 ?

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

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factor 6m^3-12mn+m^2n-2n^2

factor

6 m^{3} - 12 mn + m^{2} n - 2 n^{2}

(m^{2} - 2 n) (6 m + n)

Solution steps

6 m^{3} - 12 mn + m^{2} n - 2 n^{2}

= (6 m^{3} - 12 mn) + (m^{2} n - 2 n^{2})

Factor out

6 m

from

6 m^{3} - 12 mn : 6 m (m^{2} - 2 n)

Factor out

n

from

m^{2} n - 2 n^{2} : n (m^{2} - 2 n)

= 6 m (m^{2} - 2 n) + n (m^{2} - 2 n)

Factor out common term

m^{2} - 2 n

= (m^{2} - 2 n) (6 m + n)

- 4 x^{2} + 7 x - 3 = 0

\frac{2}{\frac{2}{3}}

3 v^{2} + 10 v + 3

\frac{1}{3 + 1} + \frac{1}{3 - 1}

3 c^{2} + 10 c + 8

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