the coefficient of x³ in (2x-3/x²)⁹
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The general term is
tr=9Cr.(−1)9−r.(2x)r.(x23)9−r
If the power of x in above general term should be 3, we have,
r−2(9−r)=3 which gives r=7.
Putting this value of r in the general term expression, we get the coefficient of x3
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