Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 526: 21

Answer

The side length of the square is $10r-11$.

Work Step by Step

$100r^{2}-220r+121=$ ...write first and last terms as squares. $=(10r)^{2}-220r+(11)^{2}$ ...does middle term equal $2ab$? $220r=2\cdot(10r)\cdot(11)$ $=(10r)^{2}-2\cdot(10r)\cdot(11)+(11)^{2}$ ...write as the square of a binomial. $=(10r-11)^{2}$ The side length of the square is $10r-11$.
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