determine the coefficient of x4 in (a+bx+cx2)7 The textbook solution is a5c2(7!/(2!5!)) + a4b2c(7!/(4!2!1!)) + a3b4(7!/(3!4!)) but I don't know how to get there. Thanks!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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determine the coefficient of x4 in (a+bx+cx2)7

The textbook solution is a5c2(7!/(2!5!)) + a4b2c(7!/(4!2!1!)) + a3b4(7!/(3!4!)) but I don't know how to get there.

Thanks!

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