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Language unit theoremIn elementary algebra, the binomial theorem (or binomial expansion) describes the algebraical expansion of powers of a language unit. According to the theorem, it is possible to boom the polynomial (x + y) into a sum involving terms of the form a ten y, where the exponents b and c are plus integers with letter b + c = n, and the coefficient a of each term is a specific supportive integer depending connected n and B For exampl… Research Paper are learned and trained to write Binomial Theorem Research Paperessays, information technology means they recognise about the Linguistic unit Theorem Research Paperguidelines and rules equally well as the varied formats of writing essays. Consequently, they will Be able
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How is the binomial theorem used in JEE?
The binomial theorem describes the coefficients of each term when we expand (a + b) n. When n is equal to a prime number p, p will divide all those coefficients, except the end one’s. Binomial theorem is one of the important concepts in JEE Mathematics. This theorem also plays a prominent role to proof other results or theorems.
When to use binomial approximation for rational index?
The binomial approximation actually takes the Binomial Theorem for the rational index one step further. According to the Binomial approximation, when your x is close to 1, your infinite series can be approximated by the first two terms. Again, the absolute value of x here has to be less than 1 for this approximation to be true.
How is the binomial theorem used in real life?
The Binomial Theorem helps you find the expansion of binomials raised to any power. For both the rational index and the binomial approximation, the absolute value of the x must be less than 1. Then and only then will the formulas be valid and give you a correct or approximate answer.
Which is the correct formula for the binomial expansion?
Binomial expansion: (x + y) n = C 0 x n + C 1 x n-1 y + C 2 x n-2 y 2 + ….+ C n y n Question 9: The sum of the co-efficient of all odd degree terms in the expansion of (x + y) 5 + (x – y) 5 = x 5 + 5 C 1 x 4 y + 5 C 2 x 3 y 2 + 5 C 3 x 2 y 3 + 5 C 4 xy 4 + 5 C 5 y 5 + x 5 – 5 C 1 x 4 y + 5 C 2 x 3 y 2 – 5 C 3 x 2 y 3 + 5 C 4 xy 4 – 5 C 5 y 5
Last Update: Oct 2021
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