Solve x^8(x^2+1)(x+1)(x-1)

$$x ^ { 8 } ( x ^ { 2 } + 1 ) ( x + 1 ) ( x - 1 )$$

Evaluate

$$\left(x^{4}-1\right)x^{8}$$

Solution Steps

Use the distributive property to multiply x^{8} by x^{2}+1.

$$\left(x^{10}+x^{8}\right)\left(x+1\right)\left(x-1\right)$$

Use the distributive property to multiply x^{10}+x^{8} by x+1.

$$\left(x^{11}+x^{10}+x^{9}+x^{8}\right)\left(x-1\right)$$

Use the distributive property to multiply x^{11}+x^{10}+x^{9}+x^{8} by x-1 and combine like terms.

$$x^{12}-x^{8}$$

Expand

$$x^{12}-x^{8}$$

Solution Steps

Use the distributive property to multiply x^{8} by x^{2}+1.

$$\left(x^{10}+x^{8}\right)\left(x+1\right)\left(x-1\right)$$

Use the distributive property to multiply x^{10}+x^{8} by x+1.

$$\left(x^{11}+x^{10}+x^{9}+x^{8}\right)\left(x-1\right)$$

Use the distributive property to multiply x^{11}+x^{10}+x^{9}+x^{8} by x-1 and combine like terms.

$$x^{12}-x^{8}$$