Solve ((x+10)^2-10x)(x-10)=

$$( ( x + 10 ) ^ { 2 } - 10 x ) ( x - 10 ) =$$

Evaluate

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

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+10\right)^{2}.

$$\left(x^{2}+20x+100-10x\right)\left(x-10\right)$$

Combine 20x and -10x to get 10x.

$$\left(x^{2}+10x+100\right)\left(x-10\right)$$

Use the distributive property to multiply x^{2}+10x+100 by x-10 and combine like terms.

$$x^{3}-1000$$

Expand

$$x^{3}-1000$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+10\right)^{2}.

$$\left(x^{2}+20x+100-10x\right)\left(x-10\right)$$

Combine 20x and -10x to get 10x.

$$\left(x^{2}+10x+100\right)\left(x-10\right)$$

Use the distributive property to multiply x^{2}+10x+100 by x-10 and combine like terms.

$$x^{3}-1000$$