Solve (2)(-m^3-6m)+5m^2-(-m^3

$$( 2 ) ( - m ^ { 3 } - 6 m ) + 5 m ^ { 2 } - ( - m ^ { 3 }$$

Evaluate

$$m\left(-m^{2}+5m-12\right)$$

Solution Steps

Use the distributive property to multiply 2 by -m^{3}-6m.

$$2\left(-m^{3}\right)-12m+5m^{2}-\left(-m^{3}\right)$$

Combine 2\left(-m^{3}\right) and -\left(-m^{3}\right) to get -m^{3}.

$$-m^{3}-12m+5m^{2}$$

Expand

$$-m^{3}+5m^{2}-12m$$

Solution Steps

Use the distributive property to multiply 2 by -m^{3}-6m.

$$2\left(-m^{3}\right)-12m+5m^{2}-\left(-m^{3}\right)$$

Combine 2\left(-m^{3}\right) and -\left(-m^{3}\right) to get -m^{3}.

$$-m^{3}-12m+5m^{2}$$