Solve a^2/a-b-a-b

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{a^{2}}{a-b} and \frac{\left(-a-b\right)\left(a-b\right)}{a-b} have the same denominator, add them by adding their numerators.

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

Do the multiplications in a^{2}+\left(-a-b\right)\left(a-b\right).

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

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

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

Differentiate w.r.t. a

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