Solve (x+1)(x-1)(x^4+x^2+1)

$$( x + 1 ) ( x - 1 ) ( x ^ { 4 } + x ^ { 2 } + 1 )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply x+1 by x-1 and combine like terms.

$$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$$

Use the distributive property to multiply x^{2}-1 by x^{4}+x^{2}+1 and combine like terms.

$$x^{6}-1$$

Expand

$$x^{6}-1$$

Solution Steps

Use the distributive property to multiply x+1 by x-1 and combine like terms.

$$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$$

Use the distributive property to multiply x^{2}-1 by x^{4}+x^{2}+1 and combine like terms.

$$x^{6}-1$$