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Popular >

factor 9mn^5+6m^3n^4

Solution

factor

9 m n^{5} + 6 m^{3} n^{4}

Solution

3 m n^{4} (3 n + 2 m^{2})

Solution steps

9 m n^{5} + 6 m^{3} n^{4}

Apply exponent rule:

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

m n^{5} = m n^{4} n, m^{3} n^{4} = m m^{2} n^{4}

= 9 m n^{4} n + 6 m m^{2} n^{4}

Rewrite

6

as

2 \cdot 3

Rewrite

9

as

3 \cdot 3

= 3 \cdot 3 m n^{4} n + 2 \cdot 3 m m^{2} n^{4}

Factor out common term

3 m n^{4}

= 3 m n^{4} (3 n + 2 m^{2})

Popular Examples

44-2(3x+4)=-18x

44 - 2 (3 x + 4) = - 18 x

simplify 62/7*62/7 simplify

\frac{62}{7} \cdot \frac{62}{7}

simplify (4a^{4/9})^2 simplify

(4 a^{\frac{4}{9}})^{2}

factor 2x^2+12x+36 factor

2 x^{2} + 12 x + 36

4 x - 3 = 3 x + 2

Frequently Asked Questions (FAQ)

What is factor 9mn^5+6m^3n^4 ?
The solution to factor 9mn^5+6m^3n^4 is 3mn^4(3n+2m^2)