Solve frac{(a^{2}+a+1)^{2}-(a-1)^2}{(a^2-a+1)^2-(a+1)^2}

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

Evaluate

$$\frac{a+2}{a-2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

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

$$\frac{a+2}{a-2}$$

Expand

$$\frac{a+2}{a-2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

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

$$\frac{a+2}{a-2}$$