Solve 9-24m+16m^{2}-4(m^2-6m+2+m^4-6m^3+2m^2)-0

$$9 - 24 m + 16 m ^ { 2 } - 4 ( m ^ { 2 } - 6 m + 2 + m ^ { 4 } - 6 m ^ { 3 } + 2 m ^ { 2 } ) - 0$$

Evaluate

$$1+4m^{2}+24m^{3}-4m^{4}$$

Solution Steps

Combine m^{2} and 2m^{2} to get 3m^{2}.

$$9-24m+16m^{2}-4\left(3m^{2}-6m+2+m^{4}-6m^{3}\right)-0$$

Use the distributive property to multiply -4 by 3m^{2}-6m+2+m^{4}-6m^{3}.

$$9-24m+16m^{2}-12m^{2}+24m-8-4m^{4}+24m^{3}-0$$

Combine 16m^{2} and -12m^{2} to get 4m^{2}.

$$9-24m+4m^{2}+24m-8-4m^{4}+24m^{3}-0$$

Combine -24m and 24m to get 0.

$$9+4m^{2}-8-4m^{4}+24m^{3}-0$$

Subtract 8 from 9 to get 1.

$$1+4m^{2}-4m^{4}+24m^{3}-0$$

Multiply -1 and 0 to get 0.

$$1+4m^{2}-4m^{4}+24m^{3}+0$$

Add 1 and 0 to get 1.

$$1+4m^{2}-4m^{4}+24m^{3}$$

Expand

$$1+4m^{2}+24m^{3}-4m^{4}$$

Solution Steps

Combine m^{2} and 2m^{2} to get 3m^{2}.

$$9-24m+16m^{2}-4\left(3m^{2}-6m+2+m^{4}-6m^{3}\right)-0$$

Use the distributive property to multiply -4 by 3m^{2}-6m+2+m^{4}-6m^{3}.

$$9-24m+16m^{2}-12m^{2}+24m-8-4m^{4}+24m^{3}-0$$

Combine 16m^{2} and -12m^{2} to get 4m^{2}.

$$9-24m+4m^{2}+24m-8-4m^{4}+24m^{3}-0$$

Combine -24m and 24m to get 0.

$$9+4m^{2}-8-4m^{4}+24m^{3}-0$$

Subtract 8 from 9 to get 1.

$$1+4m^{2}-4m^{4}+24m^{3}-0$$

Multiply -1 and 0 to get 0.

$$1+4m^{2}-4m^{4}+24m^{3}+0$$

Add 1 and 0 to get 1.

$$1+4m^{2}-4m^{4}+24m^{3}$$