Binomial Theorem

Middle Term in Binomial Expansion

Here you will learn formula to find middle term in binomial expansion with examples. Let’s begin –  Middle Term in Binomial Expansion Since the binomial expansion of $$(x + a)^n$$ contains (n + 1) terms. Therefore, (1) If n is even, then $${n\over 2} + 1$$ th term is the middle term. (2) If n …

Formula for Binomial Theorem

Here you will learn formula for binomial theorem of class 11 with examples. Let’s begin – Formula for Binomial Theorem If x and a are real numbers, then for all n $$\in$$ N. $$(x + a)^n$$ = $$^{n}C_0 x^n a^0$$ + $$^{n}C_1 x^{n – 1} a^1$$ + …………… + $$^{n}C_r x^{n – r} a^r$$ + …………… …

General Term in Binomial Expansion

Here you will learn formula to find the general term in binomial expansion with examples. Let’s begin – General Term in Binomial Expansion We have, $$(x + a)^n$$ = $$^{n}C_0 x^n a^0$$ + $$^{n}C_1 x^{n – 1} a^1$$ + …………… + $$^{n}C_r x^{n – r} a^r$$ + …………… + $$^{n}C_n x^0 a^n$$ We find that …