Solve 2xleft(x-1right)+4x^2left(x-1right)-x-1=

$$2x \left( x-1 \right) +4 { x }^{ 2 } \left( x-1 \right) -x-1=$$

Evaluate

$$4x^{3}-2x^{2}-3x-1$$

Solution Steps

Use the distributive property to multiply 2x by x-1.

$$2x^{2}-2x+4x^{2}\left(x-1\right)-x-1$$

Use the distributive property to multiply 4x^{2} by x-1.

$$2x^{2}-2x+4x^{3}-4x^{2}-x-1$$

Combine 2x^{2} and -4x^{2} to get -2x^{2}.

$$-2x^{2}-2x+4x^{3}-x-1$$

Combine -2x and -x to get -3x.

$$-2x^{2}-3x+4x^{3}-1$$

Expand

$$4x^{3}-2x^{2}-3x-1$$

Solution Steps

Use the distributive property to multiply 2x by x-1.

$$2x^{2}-2x+4x^{2}\left(x-1\right)-x-1$$

Use the distributive property to multiply 4x^{2} by x-1.

$$2x^{2}-2x+4x^{3}-4x^{2}-x-1$$

Combine 2x^{2} and -4x^{2} to get -2x^{2}.

$$-2x^{2}-2x+4x^{3}-x-1$$

Combine -2x and -x to get -3x.

$$-2x^{2}-3x+4x^{3}-1$$