Solve frac{x^{4}-x^3}{x^3+x^2}*x+1/x^2-x

$$\frac { x ^ { 4 } - x ^ { 3 } } { x ^ { 3 } + x ^ { 2 } } \cdot \frac { x + 1 } { x ^ { 2 } - x }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{4}-x^{3}}{x^{3}+x^{2}}.

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

Cancel out x^{2} in both numerator and denominator.

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

Multiply \frac{x\left(x-1\right)}{x+1} times \frac{x+1}{x^{2}-x} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out x+1 in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

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

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Factor

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