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

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

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

Use the distributive property to multiply x^{3} by x-1.

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

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

$$x^{6}-2x^{4}+x^{3}$$

Expand

$$x^{6}-2x^{4}+x^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

Use the distributive property to multiply x^{3} by x-1.

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

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

$$x^{6}-2x^{4}+x^{3}$$