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 - Page 636: 6

Answer

$(2x+1)^{4}=16x^{4}+32x^{3}+24x^{2}+8x+1$

Work Step by Step

We use the values from the 4th row of Pascal's Triangle to find the coefficients: $(2x+1)^{4}=(2x)^{4}+4(2x)^{3}+6(2x)^{2}+4(2x)+1=16x^{4}+32x^{3}+24x^{2}+8x+1$
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