What is factor 7m^2n^3+14m^3n^2-21m^3n^4 ?

The solution to factor 7m^2n^3+14m^3n^2-21m^3n^4 is 7m^2n^2(n+2m-3mn^2)

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factor 7m^2n^3+14m^3n^2-21m^3n^4

factor

7 m^{2} n^{3} + 14 m^{3} n^{2} - 21 m^{3} n^{4}

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

Solution steps

7 m^{2} n^{3} + 14 m^{3} n^{2} - 21 m^{3} n^{4}

Apply exponent rule:

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

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

= 7 m^{2} n^{2} n + 14 m^{2} m n^{2} - 21 m^{2} m n^{2} n^{2}

Rewrite

- 21

3 \cdot 7

Rewrite

14

2 \cdot 7

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

Factor out common term

7 m^{2} n^{2}

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

6 (7 x - 4)^{2} + 4

\frac{( x - 1 ) ( - x + 1 ) ( x + 2 ) + 2 ( x - 1 ) - ( x )}{( x - 1 ) ^{2}}

\frac{1 + 1}{s ^{2}}

50 x^{2} (x - y)^{2} - 8 y^{2} (x - y)^{2}

\frac{2 x}{5 + 1 - 13}

What is factor 7m^2n^3+14m^3n^2-21m^3n^4 ?
The solution to factor 7m^2n^3+14m^3n^2-21m^3n^4 is 7m^2n^2(n+2m-3mn^2)