Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.3 - Special Products - Exercise Set: 75

Answer

$x^4+3x^2+2$

Work Step by Step

Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $ (x^2+1)(x^2+2) ,$ is \begin{array}{l}\require{cancel} x^2(x^2)+x^2(2)+1(x^2)+1(2) \\\\= x^4+2x^2+x^2+2 \\\\= x^4+3x^2+2 .\end{array}
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