binomial theorem n (Mathematics) a mathematical theorem that gives the expansion of any binomial raised to a positive integral power,n. It containsn+ 1 terms: (x+a)n=xn+nxn–1a+ [n(n–1)/2]xn–2a2+…+ (nk)xn–kak+ … +an, where (nk) =n!/(n–k)!k!, the number of combi...
In the formula above, the combinatoric terms that contain a negative number can be calculated as follows: .Binomial Expansion A binomial expression refers to an expression, consisting out of two terms, that is being raised to a certain power. The general form of a binomial expression is as ...
Expansion of the planetary mutual distance raised to any negative power by the method of symbolic differential operatorsTheoretical or Mathematical/ binomial distributioncelestial mechanicsLaplace equationsmathematical operatorsplanetssymbol manipulation/ planetary mutual distancesymbolic differential operators...
Binomial Expansion: If we are given a binomial with a large exponent and we wish to expand that given binomial, what we need to use is the binomial theorem. The binomial theorem formula is given as(a+b)n=∑i=0n(ni)a(n−i)bi. Using this formula, we can able to expand e...
Question: 5se the Binomial Theorem to find the expansion of the function as a power seriesf(x)=1(1+2x2)2 )=1(1+2x2)2 There are 2 steps to solve this one.
百度试题 结果1 题目Use the binomial theorem to find the expansion of:(3-2x)^4 相关知识点: 试题来源: 解析 81-216 x+216 x^2-96 x^3+16 x^4 反馈 收藏
Approximate closed form expressions are developed for generalized elliptic type integrals using binomial coefficients. There are utilized to obtain closed form expressions for the Epstein–Hubbell (EH) generalized elliptic-type integral. Numerical test results are also reported. The convergence of series is...
How to expand using binomial theorem Use the binomial theorem to expand (3x - y^2)^4 into a sum of terms of the form c(x^a)(y^b), where c is a real number and a and b are nonnegative integers. How do you use the b...
Finally, we give an explicit p-adic q-expansion np j=1 (?1)j [j]rq , (j,p)=1 as a power series in n. The coe?cients are values of p-adic q-l-function for q-Euler numbers. 2. Preliminaries For any non-negative integer m, the q-Euler numbers, Em,q, were represented by...
The binomial theorem describes a method by which one can find the coefficient of any term that results from multiplying out a binomial expression. A binomial expression refers to an expression that contains two (non-zero) terms. The expansion of a binomial expression refers to when the expression...