Simplify (m^2-3m+2)/(m^2-m)

$\frac{m^{2} - 3 m + 2}{m^{2} - m}$

Factor $m^{2} - 3 m + 2$ using the AC method.

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Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $2$ and whose sum is $- 3$ .

$- 2, - 1$

Write the factored form using these integers.

$\frac{(m - 2) (m - 1)}{m^{2} - m}$

Simplify terms.

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Factor $m$ out of $m^{2} - m$ .

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

$\frac{(m - 2) (m - 1)}{m \cdot m - m}$

Factor $m$ out of $- m$ .

$\frac{(m - 2) (m - 1)}{m \cdot m + m \cdot - 1}$

Factor $m$ out of $m \cdot m + m \cdot - 1$ .

$\frac{(m - 2) (m - 1)}{m (m - 1)}$

Cancel the common factor of $m - 1$ .

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Cancel the common factor.

$\frac{(m - 2) (m - 1)}{m (m - 1)}$

Rewrite the expression.

$\frac{m - 2}{m}$

Simplify (m^2-3m+2)/(m^2-m)

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