Answer
$-4y^3+4y^2+4y+12$
Work Step by Step
Use distributive property.
$8(1-y^3)+4(1+y+y^2+y^3)\\
=8-8y^3+4+4y+4y^2+4y^3$
Combine like terms.
$=-4y^3+4y^2+4y+12$
Hence, the single polynomial answer in standard form is $-4y^3+4y^2+4y+12$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 42
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