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\frac{\left(x-5\right)\left(x-2\right)}{x-2}x+10
Factor the expressions that are not already factored in \frac{x^{2}-7x+10}{x-2}.
\left(x-5\right)x+10
Cancel out x-2 in both numerator and denominator.
x^{2}-5x+10
Use the distributive property to multiply x-5 by x.
\frac{\left(x-5\right)\left(x-2\right)}{x-2}x+10
Factor the expressions that are not already factored in \frac{x^{2}-7x+10}{x-2}.
\left(x-5\right)x+10
Cancel out x-2 in both numerator and denominator.
x^{2}-5x+10
Use the distributive property to multiply x-5 by x.