Find the coefficient of x3y3 in the expansion of (x+y)(2+x+y)8.The textbook answer is 24(8!/(3!3!2!)). I think I understand everything except for how to get the 24. Thanks!

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Math

Advanced Math

for

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 37E

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Question

Find the coefficient of x³y³ in the expansion of (x+y)(2+x+y)⁸.

The textbook answer is 2⁴(8!/(3!3!2!)). I think I understand everything except for how to get the 2⁴. Thanks!

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