Solve a+ab/a+b

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{a+b}{a+b}.

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

Since \frac{a\left(a+b\right)}{a+b} and \frac{ab}{a+b} have the same denominator, add them by adding their numerators.

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

Do the multiplications in a\left(a+b\right)+ab.

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

Combine like terms in a^{2}+ab+ab.

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

Factor

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