# Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression in order for it to be equivalent to the original expression. 2x - 10/x^2 - 10x + 25

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression in order for it to be equivalent to the original expression.
$\frac{2x-10}{{x}^{2}-10x+25}$
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tykoyz
Given that $\frac{2x-10}{{x}^{2}-10x+25}$
$\frac{2x-10}{{x}^{2}-5x-5x+25}=\frac{2\left(x-5\right)}{x\left(x-5\right)-5\left(x-5\right)}\phantom{\rule{0ex}{0ex}}=\frac{2\left(x-5\right)}{\left(x-5\right)\left(x-5\right)}=\frac{2}{x-5}$
So, domain of given function will he
$x-5\ne 0\phantom{\rule{0ex}{0ex}}x\ne 5$
or domein $\left(-\mathrm{\infty },5\right)\cup \left(5,\mathrm{\infty }\right)$