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Q.

The term independent of x(x>0,x≠1) in the expansion of (x+1)x23-x13+1-(x-1)(x-x)10

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a

105

b

210

c

315

d

420

answer is B.

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Detailed Solution

(x+1)x23-x13+1-(x-1)x-x10=x13+1-x+1)x10=x13+1-1-1x10=x13-1x10 If Tr+1 is the term independent of x then r=npp+q=101313+12=4∴required term =T5=C4   10=210
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