Factor out the common term \(5\).
\[\frac{5(m+3n)}{{(m-3)}^{2}}\times \frac{2m-6}{7m+21n}\]
Factor out the common term \(2\).
\[\frac{5(m+3n)}{{(m-3)}^{2}}\times \frac{2(m-3)}{7m+21n}\]
Factor out the common term \(7\).
\[\frac{5(m+3n)}{{(m-3)}^{2}}\times \frac{2(m-3)}{7(m+3n)}\]
Cancel \(m+3n\).
\[\frac{5}{{(m-3)}^{2}}\times \frac{2(m-3)}{7}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{5\times 2(m-3)}{{(m-3)}^{2}\times 7}\]
Simplify \(5\times 2(m-3)\) to \(10(m-3)\).
\[\frac{10(m-3)}{{(m-3)}^{2}\times 7}\]
Regroup terms.
\[\frac{10(m-3)}{7{(m-3)}^{2}}\]
Simplify.
\[\frac{10}{7(m-3)}\]
10/(7*(m-3))
