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Chapter 12: Q. 12.77TI (page 1212)

Find the coefficient of the x5 term of(x+4)8

Short Answer

Expert verified

Coefficient ofx5is3584

Step by step solution

01

Given Information

Coefficient of the x5 term of(x+4)8

02

Solution

We have

The (r+1)stterm in the expansion of (a+b)nis

nran-rbr

Here role="math" localid="1645254400169" a=x,b=4,n=8

8-r=5r=3

nran-rbr=83x8-343=56脳64x5=3584x5

Coefficient is3584

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