Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Review Exercises - Page 841: 84

Answer

$(a-3b)^5=a^5-15a^4b+90a^3b^2-270a^2b^3+405ab^4-243b^5$

Work Step by Step

$(a-3b)^5=~_5C_0(a)^5+~_5C_1(a)^4(-3b)^1+~_5C_2(a)^3(-3b)^2+~_5C_3(a)^2(-3b)^3+~_5C_4(a)^1(-3b)^4+~_5C_5(-3b)^5=a^5-15a^4b+90a^3b^2-270a^2b^3+405ab^4-243b^5$
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