Solve frac{x^{5}+x^{4}+x^3+x^2}{x^3+x^2+x+1}

$$\frac { x ^ { 5 } + x ^ { 4 } + x ^ { 3 } + x ^ { 2 } } { x ^ { 3 } + x ^ { 2 } + x + 1 }$$

Evaluate

$$x^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out \left(x+1\right)\left(x^{2}+1\right) in both numerator and denominator.

$$x^{2}$$

Expand

$$x^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out \left(x+1\right)\left(x^{2}+1\right) in both numerator and denominator.

$$x^{2}$$