Answer
$$(y-5)^{2}$$
Work Step by Step
Factor
$$y^{2}−10y+25.$$
Find numbers that are factors of $25$ and sum to $-10$:
$$(-5)(-5)=25;\space -5-5=-10.$$
The polynomial is a product of two binomials:
$$y^{2}−10y+25=(y-5)(y-5)=(y-5)^{2}.$$
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Skills Handbook - Factoring and Operations with Polynomials - Exercises - Page 979: 14
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