JEE Main 2023MathematicsBinomial TheoremEasyNumerical

JEE Main 2023 — Binomial Theorem Question with Solution

JEE Main 2023 (06 Apr Shift 1)

Question

The coefficient of x18 in the expansion of x4-1x315 is ____________

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Show full solutionCorrect answer: 5005
Correct answer
5005

Step-by-step explanation

Given,

Binomial expression x4-1x315

Now general term is given by,

Tr+1=Cr15x415-r-1x3r

⇒Tr+1=Cr15x60-7r(-1)r

For coefficient of x18, equate 60-7r=18

⇒r=6

Coefficient of x18=-16·C615=5005

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About this question

This is a previous-year question from JEE Main 2023, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.