Question: (\frac{m^2 + 6m}{mp + 6p}\)…

\(\frac{m^2 + 6m}{mp + 6p}\)

Solution

Factor the numerator and denominator. \[ m^2 + 6m = m(m + 6) \] \[ mp + 6p = p(m + 6) \] Rewrite the fraction with the factored forms. \[ \frac{m(m + 6)}{p(m + 6)} \] Cancel the common factor \(m + 6\). \[ \frac{m}{p} \] Thus, the simplified expression is: \[ \frac{m}{p} \]