What is factor 8mn^5+16m^2n^5 ?

The solution to factor 8mn^5+16m^2n^5 is 8mn^5(1+2m)

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factor 8mn^5+16m^2n^5

factor

8 m n^{5} + 16 m^{2} n^{5}

8 m n^{5} (1 + 2 m)

Solution steps

8 m n^{5} + 16 m^{2} n^{5}

Apply exponent rule:

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

m^{2} n^{5} = mm n^{5}

= 8 m n^{5} + 16 mm n^{5}

Rewrite

16

2 \cdot 8

= 8 m n^{5} + 2 \cdot 8 mm n^{5}

Factor out common term

8 m n^{5}

= 8 m n^{5} (1 + 2 m)

\frac{\frac{5}{2}}{5}

∣ 7 - 9 ∣

- 3 \times (- x)

- 3 \times 12

8 x^{3} + 2 x^{2} + 10 x

What is factor 8mn^5+16m^2n^5 ?
The solution to factor 8mn^5+16m^2n^5 is 8mn^5(1+2m)