Solve (3d-5d^3+2d^2)-(8d^3+6d-1)

$$( 3 d - 5 d ^ { 3 } + 2 d ^ { 2 } ) - ( 8 d ^ { 3 } + 6 d - 1 )$$

Evaluate

$$1-3d+2d^{2}-13d^{3}$$

Solution Steps

To find the opposite of 8d^{3}+6d-1, find the opposite of each term.

$$3d-5d^{3}+2d^{2}-8d^{3}-6d+1$$

Combine -5d^{3} and -8d^{3} to get -13d^{3}.

$$3d-13d^{3}+2d^{2}-6d+1$$

Combine 3d and -6d to get -3d.

$$-3d-13d^{3}+2d^{2}+1$$

Expand

$$1-3d+2d^{2}-13d^{3}$$

Solution Steps

To find the opposite of 8d^{3}+6d-1, find the opposite of each term.

$$3d-5d^{3}+2d^{2}-8d^{3}-6d+1$$

Combine -5d^{3} and -8d^{3} to get -13d^{3}.

$$3d-13d^{3}+2d^{2}-6d+1$$

Combine 3d and -6d to get -3d.

$$-3d-13d^{3}+2d^{2}+1$$