Question

find the term independent of x in the expansion (x+3/x)^8

Answer 1

Answer:

5760

Step-by-step explanation:

In binomial expansion, (a+b)^n

any rth term is given as = nCr.a^(n-r).b^r

so the general term for given expression = 8Cr.x^(8-r).(3/x)^r

as it should be independent of x, therefore the power of x in such term would equal to zero

therefore, x^(8-r).(3/x)^r = x^0

comparing powers only,

8-r-r=0

Implies that, 8-2r=0

we get r=4.

so the term independent of x= 8C4.x^4.(3/x)^4

=8C4.3^4

=70x81

=5760

Answer 2

Answer:

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