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Home/Engineering/JEE/Maths/Binomial Theorem

Binomial Theorem Formulas for JEE 2026

20 formulas in Binomial Theorem (Maths) How many can you recall?

Binomial approximation $(1+x)^n\approx 1+nx$

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Sum of binomial coefficients

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Even / odd binomial sums

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General term of (a+b)^n

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Middle term(s) in (a+b)^n

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Greatest binomial coefficient and numerically greatest term

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Sum of coefficients via substitution

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Pascal row sums and alternating sums

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Multinomial expansion

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Binomial series for (1+x)^α, |x|<1

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Term independent of x in (ax^p + b/x^q)^n

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Symmetry and coefficient of x^r in (1+x)^n

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Number of distinct terms in (x_1+\cdots+x_k)^n

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Binomial approximation for small |x|

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Binomial expansion

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General term $T_{r+1}$

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Multinomial theorem

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Middle term(s) in $(a+b)^n$

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Greatest binomial coefficient in a row

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Greatest term (numerical) in $(1+x)^n$

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