Solve ((7x^2-5x)(-x-2))

$$((7 { x }^{ 2 } -5x)(-x-2))$$

Evaluate

$$-x\left(7x-5\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply 7x^{2}-5x by -x-2.

$$7x^{2}\left(-x\right)-14x^{2}-5x\left(-x\right)+10x$$

Multiply -5 and -1 to get 5.

$$7x^{2}\left(-x\right)-14x^{2}+5xx+10x$$

Multiply x and x to get x^{2}.

$$7x^{2}\left(-x\right)-14x^{2}+5x^{2}+10x$$

Combine -14x^{2} and 5x^{2} to get -9x^{2}.

$$7x^{2}\left(-x\right)-9x^{2}+10x$$

Multiply 7 and -1 to get -7.

$$-7x^{2}x-9x^{2}+10x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-7x^{3}-9x^{2}+10x$$

Expand

$$10x-9x^{2}-7x^{3}$$

Solution Steps

Use the distributive property to multiply 7x^{2}-5x by -x-2.

$$7x^{2}\left(-x\right)-14x^{2}-5x\left(-x\right)+10x$$

Multiply -5 and -1 to get 5.

$$7x^{2}\left(-x\right)-14x^{2}+5xx+10x$$

Multiply x and x to get x^{2}.

$$7x^{2}\left(-x\right)-14x^{2}+5x^{2}+10x$$

Combine -14x^{2} and 5x^{2} to get -9x^{2}.

$$7x^{2}\left(-x\right)-9x^{2}+10x$$

Multiply 7 and -1 to get -7.

$$-7x^{2}x-9x^{2}+10x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-7x^{3}-9x^{2}+10x$$