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: 54

Answer

$(p^{3}+20q)^{2}$

Work Step by Step

Given the polynomial $(p^{3})^{2}$ + 40$p^{3}$q + $(20q)^{2}$ 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= $(p^{3}$ and b=20q $(p^{3}$ + 2($p^{3}$)(20q) + $(20q)^{2}$ = $(p^{3}+20q)^{2}$
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