Solve a^2+2ab/a+b+b^2/a+b

$$\frac { a ^ { 2 } + 2 a b } { a + b } + \frac { b ^ { 2 } } { a + b }$$

Evaluate

$$a+b$$

Short Solution Steps

Since \frac{a^{2}+2ab}{a+b} and \frac{b^{2}}{a+b} have the same denominator, add them by adding their numerators.

$$\frac{a^{2}+2ab+b^{2}}{a+b}$$

Factor the expressions that are not already factored in \frac{a^{2}+2ab+b^{2}}{a+b}.

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

Cancel out a+b in both numerator and denominator.

$$a+b$$

Expand

$$a+b$$

Short Solution Steps

Since \frac{a^{2}+2ab}{a+b} and \frac{b^{2}}{a+b} have the same denominator, add them by adding their numerators.

$$\frac{a^{2}+2ab+b^{2}}{a+b}$$

Factor the expressions that are not already factored in \frac{a^{2}+2ab+b^{2}}{a+b}.

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

Cancel out a+b in both numerator and denominator.

$$a+b$$