Simplify (a-3b)/(a^2-3ab)

$\frac{a - 3 b}{a^{2} - 3 a b}$

Step 1

Factor $a$ out of $a^{2} - 3 a b$ .

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

$\frac{a - 3 b}{a \cdot a - 3 a b}$

Factor $a$ out of $- 3 a b$ .

$\frac{a - 3 b}{a \cdot a + a (- 3 b)}$

Factor $a$ out of $a \cdot a + a (- 3 b)$ .

$\frac{a - 3 b}{a (a - 3 b)}$

$\frac{a - 3 b}{a (a - 3 b)}$

Step 2

Cancel the common factor of $a - 3 b$ .

Cancel the common factor.

$\frac{a - 3 b}{a (a - 3 b)}$

Rewrite the expression.

$\frac{1}{a}$

$\frac{1}{a}$

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