Solve 10x^2+3x-3x(x-1)-2x^2

$$10 { x }^{ 2 } +3x-3x(x-1)-2 { x }^{ 2 }$$

Evaluate

$$x\left(5x+6\right)$$

Solution Steps

Multiply -1 and 3 to get -3.

$$10x^{2}+3x-3x\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply -3x by x-1.

$$10x^{2}+3x-3x^{2}+3x-2x^{2}$$

Combine 10x^{2} and -3x^{2} to get 7x^{2}.

$$7x^{2}+3x+3x-2x^{2}$$

Combine 3x and 3x to get 6x.

$$7x^{2}+6x-2x^{2}$$

Combine 7x^{2} and -2x^{2} to get 5x^{2}.

$$5x^{2}+6x$$

Expand

$$5x^{2}+6x$$

Solution Steps

Multiply -1 and 3 to get -3.

$$10x^{2}+3x-3x\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply -3x by x-1.

$$10x^{2}+3x-3x^{2}+3x-2x^{2}$$

Combine 10x^{2} and -3x^{2} to get 7x^{2}.

$$7x^{2}+3x+3x-2x^{2}$$

Combine 3x and 3x to get 6x.

$$7x^{2}+6x-2x^{2}$$

Combine 7x^{2} and -2x^{2} to get 5x^{2}.

$$5x^{2}+6x$$