Find the term independent of x in (3x^2 - 1/2x^3)^10

3x2-12x310Tr+1=crn an-rbrTr+1=cr10 3x210-r-12x3r=cr10310-rx20-2r-12r1x3r=cr10310-r-12rx20-2r-3r=cr10310-r-12rx20-5rTerm independent of x will not have x.So, 20-5r=05r=20r=4.5th term is independent of x.T5=c510310-4-124=c510 . 36 .116=c51072916=729c51016=729×10!16×5!×5!=729×10×9×8×7×616×5×4×3×2=459274    ANS...

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