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

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

Evaluate

$$\frac{\left(b-a\right)\left(-a+b-1\right)}{a}$$

Short Solution Steps

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

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

Since \frac{a-b}{a} and \frac{aa}{a} have the same denominator, add them by adding their numerators.

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

Do the multiplications in a-b+aa.

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

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

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

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

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

Expand

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

Short Solution Steps

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

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

Since \frac{a-b}{a} and \frac{aa}{a} have the same denominator, add them by adding their numerators.

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

Do the multiplications in a-b+aa.

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

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

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

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

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