Solve xleft(9-xright)left(8-xright)-90

$$x \left( 9-x \right) \left( 8-x \right) -90$$

Evaluate

$$\left(x-3\right)\left(x^{2}-14x+30\right)$$

Solution Steps

Use the distributive property to multiply x by 9-x.

$$\left(9x-x^{2}\right)\left(8-x\right)-90$$

Apply the distributive property by multiplying each term of 9x-x^{2} by each term of 8-x.

$$72x-9x^{2}-8x^{2}+x^{3}-90$$

Combine -9x^{2} and -8x^{2} to get -17x^{2}.

$$72x-17x^{2}+x^{3}-90$$

Expand

$$x^{3}-17x^{2}+72x-90$$

Solution Steps

Use the distributive property to multiply x by 9-x.

$$\left(9x-x^{2}\right)\left(8-x\right)-90$$

Apply the distributive property by multiplying each term of 9x-x^{2} by each term of 8-x.

$$72x-9x^{2}-8x^{2}+x^{3}-90$$

Combine -9x^{2} and -8x^{2} to get -17x^{2}.

$$72x-17x^{2}+x^{3}-90$$