What is factor-32m^4n^2+14mn^3 ?

The solution to factor-32m^4n^2+14mn^3 is 2mn^2(-16m^3+7n)

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factor-32m^4n^2+14mn^3

factor

- 32 m^{4} n^{2} + 14 m n^{3}

2 m n^{2} (- 16 m^{3} + 7 n)

Solution steps

- 32 m^{4} n^{2} + 14 m n^{3}

Apply exponent rule:

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

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

= - 32 m m^{3} n^{2} + 14 m n^{2} n

Rewrite

14

7 \cdot 2

Rewrite

- 32

16 \cdot 2

= 16 \cdot 2 m m^{3} n^{2} + 7 \cdot 2 m n^{2} n

Factor out common term

2 m n^{2}

= 2 m n^{2} (- 16 m^{3} + 7 n)

6 s - 4 = 8 (2 + \frac{1}{4} s)

\frac{a}{6 b} + \frac{2 a}{9 b}

3 x + 9

248

2 (y + 2) + y = 3 (y - 1) + 6

What is factor-32m^4n^2+14mn^3 ?
The solution to factor-32m^4n^2+14mn^3 is 2mn^2(-16m^3+7n)