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m\times \frac{\left(x-5\right)\left(x+5\right)}{3\left(x-5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-25}{3x-15}.
m\times \frac{x+5}{3}
Cancel out x-5 in both numerator and denominator.
\frac{m\left(x+5\right)}{3}
Express m\times \frac{x+5}{3} as a single fraction.
\frac{mx+5m}{3}
Use the distributive property to multiply m by x+5.
m\times \frac{\left(x-5\right)\left(x+5\right)}{3\left(x-5\right)}
Factor the expressions that are not already factored in \frac{x^{2}-25}{3x-15}.
m\times \frac{x+5}{3}
Cancel out x-5 in both numerator and denominator.
\frac{m\left(x+5\right)}{3}
Express m\times \frac{x+5}{3} as a single fraction.
\frac{mx+5m}{3}
Use the distributive property to multiply m by x+5.