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\frac{p^{2}-13p+30}{p-3}\times 1
Divide 7p by 7p to get 1.
\frac{\left(p-10\right)\left(p-3\right)}{p-3}\times 1
Factor the expressions that are not already factored in \frac{p^{2}-13p+30}{p-3}.
\left(p-10\right)\times 1
Cancel out p-3 in both numerator and denominator.
p-10
Use the distributive property to multiply p-10 by 1.
\frac{p^{2}-13p+30}{p-3}\times 1
Divide 7p by 7p to get 1.
\frac{\left(p-10\right)\left(p-3\right)}{p-3}\times 1
Factor the expressions that are not already factored in \frac{p^{2}-13p+30}{p-3}.
\left(p-10\right)\times 1
Cancel out p-3 in both numerator and denominator.
p-10
Use the distributive property to multiply p-10 by 1.