Students learn that when simplifying a rational expression, such as (m^2 + 7m - 30)/(m^2 - 3m), the first step is to factor both the numerator and denominator, to get [(m + 10)(m - 3)]/[m(m - 3)], and the next step is to cancel out the factors that match up, in this case, the (m - 3)'s, to get (m + 10)/m, which is the final answer.

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