Reduce (a^2-ab)/(a^2+ab) - Math solver

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

Simplify the numerator.

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Factor $a$ out of $a^{2} - a b$ .

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Factor $a$ out of $a^{2}$ .

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

Factor $a$ out of $- a b$ .

$\frac{a \cdot a + a (- 1 b)}{a^{2} + a b}$

Factor $a$ out of $a \cdot a + a (- 1 b)$ .

$\frac{a (a - 1 b)}{a^{2} + a b}$

$\frac{a (a - 1 b)}{a^{2} + a b}$

Rewrite $- 1 b$ as $- b$ .

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

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

Simplify terms.

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Factor $a$ out of $a^{2} + a b$ .

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Factor $a$ out of $a^{2}$ .

$\frac{a (a - b)}{a \cdot a + a b}$

Factor $a$ out of $a b$ .

$\frac{a (a - b)}{a \cdot a + a (b)}$

Factor $a$ out of $a \cdot a + a (b)$ .

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

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

Cancel the common factor of $a$ .

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Cancel the common factor.

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

Rewrite the expression.

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

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

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

Reduce (a^2-ab)/(a^2+ab)