Solve 6x^2-x(2x^2-3-2x-4y))-3xy

$$6 { x }^{ 2 } -x(2 { x }^{ 2 } -3-2x-4y))-3xy$$

Evaluate

$$x\left(3+4y+8x-2x^{2}\right)$$

Solution Steps

Use the distributive property to multiply x by 2x^{2}-3-2x-4y.

$$6x^{2}-\left(2x^{3}-3x-2x^{2}-4xy\right)$$

To find the opposite of 2x^{3}-3x-2x^{2}-4xy, find the opposite of each term.

$$6x^{2}-2x^{3}+3x+2x^{2}+4xy$$

Combine 6x^{2} and 2x^{2} to get 8x^{2}.

$$8x^{2}-2x^{3}+3x+4xy$$

Expand

$$3x+4xy+8x^{2}-2x^{3}$$

Solution Steps

Use the distributive property to multiply x by 2x^{2}-3-2x-4y.

$$6x^{2}-\left(2x^{3}-3x-2x^{2}-4xy\right)$$

To find the opposite of 2x^{3}-3x-2x^{2}-4xy, find the opposite of each term.

$$6x^{2}-2x^{3}+3x+2x^{2}+4xy$$

Combine 6x^{2} and 2x^{2} to get 8x^{2}.

$$8x^{2}-2x^{3}+3x+4xy$$