Solve x^10(x-1)(x^4+x^3+x^2+x+1)

$$x ^ { 10 } ( x - 1 ) ( x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 )$$

Evaluate

$$\left(x^{5}-1\right)x^{10}$$

Solution Steps

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

$$\left(x^{11}-x^{10}\right)\left(x^{4}+x^{3}+x^{2}+x+1\right)$$

Use the distributive property to multiply x^{11}-x^{10} by x^{4}+x^{3}+x^{2}+x+1 and combine like terms.

$$x^{15}-x^{10}$$

Expand

$$x^{15}-x^{10}$$

Solution Steps

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

$$\left(x^{11}-x^{10}\right)\left(x^{4}+x^{3}+x^{2}+x+1\right)$$

Use the distributive property to multiply x^{11}-x^{10} by x^{4}+x^{3}+x^{2}+x+1 and combine like terms.

$$x^{15}-x^{10}$$