Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.6 - The Binomial Theorem - 12.6 Exercises - Page 886: 10

Answer

$20 a^{(3/2)} b^{(3/2)} + 6 a^{(5/2)}\sqrt(b) + a^3 + 15 a^2 b + 6 \sqrt(a) b^{(5/2)} + 15 a b^2 + b^3$

Work Step by Step

The coefficients of the polynomial expression will simply be the pascal's triangle number row corresponding to the power. Also the power's of x will start with the power and go down. The constant or y term will go up starting with to the power 0. Also if there is a coefficient of either term (like 4x instead of x) simply consider the coefficient as part of the whole term and expand afterwards
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