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

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

Evaluate

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

Solution Steps

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

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

Cancel out x\left(x+1\right) in both numerator and denominator.

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

Use the distributive property to multiply x-1 by x^{2}.

$$\frac{1}{x^{3}-x^{2}}$$

Expand

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

Solution Steps

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

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

Cancel out x\left(x+1\right) in both numerator and denominator.

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

Use the distributive property to multiply x-1 by x^{2}.

$$\frac{1}{x^{3}-x^{2}}$$