College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises: 4

Answer

Binomial $(a+b)^{4}=\left(\begin{array}{l} 4\\ 0 \end{array}\right)a^{4}+\left(\begin{array}{l} 4\\ 1 \end{array}\right)a^{3}b+\left(\begin{array}{l} 4\\ 2 \end{array}\right)a^{2}b^{2}+\left(\begin{array}{l} 4\\ 3 \end{array}\right)ab^{3}+\left(\begin{array}{l} 4\\ 4 \end{array}\right)b^{4}$

Work Step by Step

To expand $(a+b)^{n}$ we can use the ___ Binomial___ Theorem. Using this theorem, we find the expansion of $(a+b)^{4}=\left(\begin{array}{l} 4\\ 0 \end{array}\right)a^{4}+\left(\begin{array}{l} 4\\ 1 \end{array}\right)a^{3}b+\left(\begin{array}{l} 4\\ 2 \end{array}\right)a^{2}b^{2}+\left(\begin{array}{l} 4\\ 3 \end{array}\right)ab^{3}+\left(\begin{array}{l} 4\\ 4 \end{array}\right)b^{4}$
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