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Formula Sheet

Binomial Theorem — Formula Sheet

MHT-CET · Mathematics

Free Binomial Theorem formula sheet for MHT-CET Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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A labeled diagram illustrating the general formula for the binomial expansion of (a+b)^n, showing the summation notation, individual terms, and the role of binomial coefficients.
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Formula Sheet — Binomial Theorem

Important formulas and equations from Binomial Theorem for MHT-CET Mathematics.

Formulas — Binomial Theorem

Basic Binomial Theorem

(a+b)^n = Σ(k=0 to n) nCk × a^(n-k) × b^k
(a+b)^n = nC0×a^n + nC1×a^(n-1)×b + nC2×a^(n-2)×b^2 + ... + nCn×b^n
nCr = n!/(r!(n-r)!)

Special Cases and Deductions

(x-y)^n = Σ(k=0 to n) nCk × x^(n-k) × (-y)^k
nC0 + nC1 + nC2 + ... + nCn = 2^n
nC0 - nC1 + nC2 - nC3 + ... = 0 (if n>0)

General Term and Applications

T(r+1) = nCr × a^(n-r) × b^r
Term independent of x in (x + k/x)^n occurs when power of x = 0
pth term from end = (n-p+2)th term from beginning

Negative and Fractional Powers

(1+x)^(-n) = 1 - nx + n(n+1)x²/2! - n(n+1)(n+2)x³/3! + ...
(1-x)^(-n) = 1 + nx + n(n+1)x²/2! + n(n+1)(n+2)x³/3! + ...

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Frequently Asked Questions

What topics are covered in Binomial Theorem for MHT-CET?
Binomial Theorem is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction and Basic Concepts, Key Properties and Observations, Special Cases and Important Deductions, General Term and Its Applications.
How important is Binomial Theorem for MHT-CET?
Binomial Theorem is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 391 practice questions available for this chapter.
How to prepare Binomial Theorem for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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