Solve (x-1)*(x^2+x+1)*(x^6+x^3+1)=

$$( x - 1 ) \cdot ( x ^ { 2 } + x + 1 ) \cdot ( x ^ { 6 } + x ^ { 3 } + 1 ) =$$

Evaluate

$$x^{9}-1$$

Solution Steps

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

$$\left(x^{3}-1\right)\left(x^{6}+x^{3}+1\right)$$

Use the distributive property to multiply x^{3}-1 by x^{6}+x^{3}+1 and combine like terms.

$$x^{9}-1$$

Expand

$$x^{9}-1$$

Solution Steps

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

$$\left(x^{3}-1\right)\left(x^{6}+x^{3}+1\right)$$

Use the distributive property to multiply x^{3}-1 by x^{6}+x^{3}+1 and combine like terms.

$$x^{9}-1$$