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...
二项式定理(binomial theorem)二项式定理 Binomialtheorem 引入课题 今天是星期四，试2012天之后是星问2期几呢？引入课题 1.(a＋b)2和(a＋b)3展开后分别等于什么？(a＋b)2＝a2＋2ab＋b2，(a＋b)3＝a3＋3a2b＋3ab2＋b3.2.对于a＋b，(a＋b)2，(a＋b)3，(a＋b)4，(a＋b)5等代数式，数学上...
Binomial Expansion rth Term of Binomial Expansion Coefficient of Terms in Binomial Expansion Pascal's triangle Log in or register to post comments Find the term independent of x in the expansion of a given binomial Book traversal links for Binomial Theorem Three-digit numbers not divisible ...
binomial expansion二项展开式 binomial expression二项式 binomial population二项式总体 相似单词 binomiala. 二项的,二项式的,二种名称的 n. 二项式,二种名称 theoremn.【术语】(尤指数学)定理 konigs'theorem【计】 科尼希定理 theorem proving定理证明
binomial expansion in algebra, binomial theorem defines the algebraic expansion of the term (x + y) n . it defines power in the form of ax b y c . the exponents b and c are non-negative distinct integers and b+c = n and the coefficient ‘a’ of each term is a positive integer ...
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk). 10∑k=010!(10−k)!k!⋅(x)10−k⋅(−2)k∑k=01010!(10-k)!k!⋅(x)10-k⋅(-2)kExpand...
Uses of the Binomial Theorem Expansion The binomial theorem is an easy way to write binomial expansions quickly without needing tomultiply a binomialby itself a given number of times. This makes it easier to find the expansion of an expression like(3x+2y)4without needing to multiply (3x+2y)...
Learn about binomial expansion and how the binomial theorem helps with this. Explore the binomial expansion formula and how to use the binomial...
Step 3: Apply the binomial theorem formula. The binomial theorem formula states that for any positive integer "n", the expansion of (a + b)ⁿ is given by: (a + b)ⁿ = C(n, 0)aⁿb⁰ + C(n, 1)aⁿ⁻¹b¹ + C(n, 2)aⁿ⁻²b² + ... + C(n, n-1...
RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook binomial experiment Medical n (Statistics)statisticsan experiment consisting of a fixed number of independent trials each with two possible outcomes, success and failure, and the same probability of success. The probabi...