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: 8

Answer

$(x-y)^{5}=x^{5}-5x^{4}y+10x^{3}y^{2}-10x^{2}y^{3}+5y^{4}-y^{5}$

Work Step by Step

We use the values from the 5th row of Pascal's Triangle to find the coefficients: $(x-y)^{5}=x^{5}+-5x^{4}y^1+10x^{3}y^{2}+-10x^{2}y^{3}+5x^1y^{4}+-y^{5}=x^{5}-5x^{4}y+10x^{3}y^{2}-10x^{2}y^{3}+5y^{4}-y^{5}$
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