Final answer to the problem
$-\frac{25}{4}+\left(y-\frac{15}{2}\right)^2$
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Step-by-step Solution
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1
Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
$y^2-15y+50+\frac{225}{4}-\frac{225}{4}$
Learn how to solve polynomial factorization problems step by step online.
$y^2-15y+50+\frac{225}{4}-\frac{225}{4}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square y^2-15y+50. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial y^2+-15y+\frac{225}{4}. Subtract the values 50 and -\frac{225}{4}.
Final answer to the problem
$-\frac{25}{4}+\left(y-\frac{15}{2}\right)^2$