Solve (-m^4+7m)+(-5m^4+8m)

$$( - m ^ { 4 } + 7 m ) + ( - 5 m ^ { 4 } + 8 m )$$

Evaluate

$$15m-6m^{4}$$

Solution Steps

Combine 7m and 8m to get 15m.

$$-m^{4}+15m-5m^{4}$$

Combine -m^{4} and -5m^{4} to get -6m^{4}.

$$-6m^{4}+15m$$

Factor

$$3m\left(5-2m^{3}\right)$$

Solution Steps

Factor out m.

$$m\left(-6m^{3}+15\right)$$

Consider -m^{3}+7-5m^{3}+8. Multiply and combine like terms.

$$-6m^{3}+15$$

Consider -6m^{3}+15. Factor out 3.

$$3\left(-2m^{3}+5\right)$$

Rewrite the complete factored expression. Polynomial -2m^{3}+5 is not factored since it does not have any rational roots.

$$3m\left(-2m^{3}+5\right)$$