Solve (m^2+1)(4+m^2-6m)/-(4

$$\frac { ( m ^ { 2 } + 1 ) ( 4 + m ^ { 2 } - 6 m ) } { - ( 4}$$

Evaluate

$$-\frac{\left(m^{2}+1\right)\left(m^{2}-6m+4\right)}{4}$$

Solution Steps

Use the distributive property to multiply m^{2}+1 by 4+m^{2}-6m and combine like terms.

$$\frac{5m^{2}+m^{4}-6m^{3}+4-6m}{-4}$$

Expand

$$-\frac{m^{4}}{4}+\frac{3m^{3}}{2}-\frac{5m^{2}}{4}+\frac{3m}{2}-1$$

Solution Steps

Use the distributive property to multiply m^{2}+1 by 4+m^{2}-6m and combine like terms.

$$\frac{5m^{2}+m^{4}-6m^{3}+4-6m}{-4}$$