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

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

Evaluate

$$a+b$$

Short Solution Steps

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

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

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

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

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

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

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

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

Cancel out a in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out a-b in both numerator and denominator.

$$a+b$$

Expand

$$a+b$$

Short Solution Steps

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

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

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

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

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

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

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

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

Cancel out a in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out a-b in both numerator and denominator.

$$a+b$$