What is factor 30mn^5+6mn^2+18mn ?

The solution to factor 30mn^5+6mn^2+18mn is 6mn(5n^4+n+3)

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factor 30mn^5+6mn^2+18mn

factor

30 m n^{5} + 6 m n^{2} + 18 mn

6 mn (5 n^{4} + n + 3)

Solution steps

30 m n^{5} + 6 m n^{2} + 18 mn

Apply exponent rule:

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

m n^{5} = mn n^{4}, m n^{2} = mnn

= 30 mn n^{4} + 6 mnn + 18 mn

Rewrite

18

3 \cdot 6

Rewrite

30

5 \cdot 6

= 5 \cdot 6 mn n^{4} + 6 mnn + 3 \cdot 6 mn

Factor out common term

6 mn

= 6 mn (5 n^{4} + n + 3)

\frac{2 π}{3} + \frac{π}{6}

7^{2} + 5^{2} = c^{2}

10 x + 5

22 = 3 p - 5

What is factor 30mn^5+6mn^2+18mn ?
The solution to factor 30mn^5+6mn^2+18mn is 6mn(5n^4+n+3)