SOLUTION: Hi, can help me solve this? Thankss~ (a) Find the term that is independent of x in the expansion of (x - 3/x)^6 in ascending powers of x. (b) Hence, find the term that is indepen

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Question 1170629: Hi, can help me solve this? Thankss~
(a) Find the term that is independent of x in the expansion of (x - 3/x)^6 in ascending powers of x.
(b) Hence, find the term that is independent of x in the expansion of (2+2/x^2)(x-3/x)^6.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a.
Find the term that is independent of x in the expansion of

Formula to use
th term=

For :



th term=th term=
For the th term involving :


then

check expanded form:




b. Hence, find the term that is independent of x in the expansion of .

Find the term that is independent of in the expansion of
Formula to use
th term=

For :



th term=th term=
For the th term involving :


then


For the th term involving :




The constant term in the expansion of is:

← answer
expanded form:





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