Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 75: 88



Work Step by Step

RECALL: $a^3+b^3=(a+b)(a^2-ab+b^2)$ Use the formula above with $a=\sqrt[3]{7}$ and $b=3$ to obtain: $(\sqrt[3]{7}+3)(\sqrt{7^2}-3\sqrt[3]{7}+9) \\=(\sqrt[3]{7})^3+3^3 \\=7+27 \\=\color{blue}{34}$
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