Solve (a-b^2/a)*a/ab

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{aa}{a} and \frac{b^{2}}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{aa-b^{2}}{a}\times \frac{a}{ab}$$

Do the multiplications in aa-b^{2}.

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

Cancel out a in both numerator and denominator.

$$\frac{a^{2}-b^{2}}{a}\times \frac{1}{b}$$

Multiply \frac{a^{2}-b^{2}}{a} times \frac{1}{b} by multiplying numerator times numerator and denominator times denominator.

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

Expand

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

Short Solution Steps

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

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

Since \frac{aa}{a} and \frac{b^{2}}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{aa-b^{2}}{a}\times \frac{a}{ab}$$

Do the multiplications in aa-b^{2}.

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

Cancel out a in both numerator and denominator.

$$\frac{a^{2}-b^{2}}{a}\times \frac{1}{b}$$

Multiply \frac{a^{2}-b^{2}}{a} times \frac{1}{b} by multiplying numerator times numerator and denominator times denominator.

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