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\frac{3\left(t-5\right)\left(t+5\right)}{\left(t-5\right)\left(t+3\right)}
Factor the expressions that are not already factored.
\frac{3\left(t+5\right)}{t+3}
Cancel out t-5 in both numerator and denominator.
\frac{3t+15}{t+3}
Expand the expression.
\frac{3\left(t-5\right)\left(t+5\right)}{\left(t-5\right)\left(t+3\right)}
Factor the expressions that are not already factored.
\frac{3\left(t+5\right)}{t+3}
Cancel out t-5 in both numerator and denominator.
\frac{3t+15}{t+3}
Expand the expression.