What is factor 30m^4n^3-12m^3n^2+6m^2n ?

The solution to factor 30m^4n^3-12m^3n^2+6m^2n is 6m^2n(5m^2n^2-2mn+1)

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factor 30m^4n^3-12m^3n^2+6m^2n

factor

30 m^{4} n^{3} - 12 m^{3} n^{2} + 6 m^{2} n

6 m^{2} n (5 m^{2} n^{2} - 2 mn + 1)

Solution steps

30 m^{4} n^{3} - 12 m^{3} n^{2} + 6 m^{2} n

Apply exponent rule:

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

m^{4} n^{3} = m^{2} m^{2} n n^{2}, m^{3} n^{2} = m^{2} mnn

= 30 m^{2} m^{2} n n^{2} - 12 m^{2} mnn + 6 m^{2} n

Rewrite

- 12

2 \cdot 6

Rewrite

30

5 \cdot 6

= 5 \cdot 6 m^{2} m^{2} n n^{2} + 2 \cdot 6 m^{2} mnn + 6 m^{2} n

Factor out common term

6 m^{2} n

= 6 m^{2} n (5 m^{2} n^{2} - 2 mn + 1)

\frac{1}{2} \cdot (\frac{1}{4})^{1}

2 q + 10 = 7 q

4 x^{2} + 8 x - 5

- x^{3} - 2 x^{2} + 15 x

8 \leq - 3 (4 x + 1) \leq 24

What is factor 30m^4n^3-12m^3n^2+6m^2n ?
The solution to factor 30m^4n^3-12m^3n^2+6m^2n is 6m^2n(5m^2n^2-2mn+1)