Solve frac{(x^{3}-3x)(x^{3}-1)}{(x^4+x^3+x^2)(x^2-1)}

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

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored.

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

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

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

Expand the expression.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored.

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

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

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

Expand the expression.

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