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Binomial Theorem General Formula Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Binomial Theorem General Formula Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the binomial theorem? |  |
Ans. The binomial theorem is a mathematical formula that provides a way to expand a binomial expression raised to a positive integer exponent. It allows us to find the coefficients of all the terms in the expansion.
| 2. How is the binomial theorem used in JEE? | |
Ans. In JEE (Joint Entrance Examination), the binomial theorem is a frequently tested concept in algebra. It is often used to solve problems involving the expansion of binomial expressions and finding specific terms or coefficients in the expansion.
| 3. What is the general formula of the binomial theorem? | |
Ans. The general formula of the binomial theorem is given by (a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + C(n, 2) * a^(n-2) * b^2 + ... + C(n, n-1) * a^1 * b^(n-1) + C(n, n) * a^0 * b^n. Here, C(n, r) represents the binomial coefficient, which is given by C(n, r) = n! / (r! * (n-r)!), where n! is the factorial of n.
| 4. How can I calculate the coefficients in the binomial expansion using the binomial theorem? | |
Ans. To calculate the coefficients in the binomial expansion, you can use the formula C(n, r) = n! / (r! * (n-r)!), where n is the exponent of the binomial expression and r is the power of a specific term in the expansion. By substituting the values of n and r into this formula, you can find the coefficient.
| 5. Can the binomial theorem be used for negative exponents? | |
Ans. No, the binomial theorem is applicable only for positive integer exponents. It cannot be used for negative exponents or non-integer exponents. The binomial theorem is derived based on the concept of combinatorics and relies on the properties of positive integers.
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Nov 22, 2024 Last updated |
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