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

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

Evaluate

$$x^{8}+x^{4}+1$$

Solution Steps

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

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

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

$$x^{8}+x^{4}+1$$

Expand

$$x^{8}+x^{4}+1$$

Solution Steps

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

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

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

$$x^{8}+x^{4}+1$$