Final answer to the problem
$\left(y-5\right)\left(y-10\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the trinomial $y^2-15y+50$ finding two numbers that multiply to form $50$ and added form $-15$
$\begin{matrix}\left(-5\right)\left(-10\right)=50\\ \left(-5\right)+\left(-10\right)=-15\end{matrix}$
2
Thus
$\left(y-5\right)\left(y-10\right)$
Final answer to the problem
$\left(y-5\right)\left(y-10\right)$