Solve left(a^3+b^3right)*left(a-bright)/a^2-ab+b^2

$$\frac{ \left( { a }^{ 3 } + { b }^{ 3 } \right) \times \left( a-b \right) }{ { a }^{ 2 } -ab+ { b }^{ 2 } }$$

Evaluate

$$a^{2}-b^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a^{2}-ab+b^{2} in both numerator and denominator.

$$\left(a+b\right)\left(a-b\right)$$

Expand the expression.

$$a^{2}-b^{2}$$

Expand

$$a^{2}-b^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

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

Cancel out a^{2}-ab+b^{2} in both numerator and denominator.

$$\left(a+b\right)\left(a-b\right)$$

Expand the expression.

$$a^{2}-b^{2}$$