Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.5 - The Binomial Theorum - Exercise Set - Page 1092: 11



Work Step by Step

Binomial Theorem or Binomial expansion can be defined as: $(x+y)^n=\displaystyle \binom{n}{0}x^ny^0+\displaystyle \binom{n}{1}x^{n-1}y^1+........+\displaystyle \binom{n}{n}x^0y^n$ Need to apply the formula to get the Binomial Expansion. we have $(3x+y)^3=\displaystyle \binom{3}{0}(3x)^3y^0+\displaystyle \binom{3}{1}(3x^{2})y^1 +\displaystyle \binom{3}{2}(3x)^1y^2+\displaystyle \binom{3}{3}(3x)^0y^3$ $=27x^3(1)+3(9x^2)y+9xy^2+y^3(1)$ $\bf{(Simplify)}$ $=27x^3+27x^2y+9xy^2+y^3$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.