Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 514: 22


The length of the one side of a square is (8r-9)

Work Step by Step

Given the polynomial $(8r)^{2}$ - 144x + $(9)^{2}$ We see that the polynomial has the first and last term squared and the middle term is -2 times the first and last term. Thus it follows the rule of $a^{2}$ - 2ab + $b^{2}$ = $(a-b)^{2}$ In this polynomial a= 8r and b=9 $(8r)^{2}$ - 2(8r)(9) + $(9)^{2}$ = $(8r-9)^{2}$ The formula for area of a square is $Length^{2}$ so to get the length of one side we square root the answer. $\sqrt (8r-9)^{2}$ = (8r-9)
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