College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 39

Answer

$1-y^{10}$ Note that standard form would list the variables first in decreasing order of exponent, so another way to write this answer is: $-y^{10}+1$.

Work Step by Step

$$(1-y^5)(1+y^5)$$ $$=(1\times 1)+(1\times y^5)+(-y^5\times 1)+(-y^5\times y^5)$$ $$=1+y^5-y^5-y^{10}$$ $$=1-y^{10}$$ Note that standard form would list the variables first in decreasing order of exponent, so another way to write this answer is: $$-y^{10}+1$$
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