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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...
t. e. In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.
Polynomial expansion. In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by ...
Trinomial expansion. In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by. where n is a nonnegative integer and the sum is taken over all combinations of nonnegative indices i, j, and k such that i + j + k = n. [ 1] The trinomial coefficients are given by.
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that. It is valid when and where and may be real or complex numbers . The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ...
Cartoonito launches as a full-time channel, running between 3am and 7pm in a time-sharing agreement with Turner Classic Movies 2. 6 August – Pop Girl launches, airing each day between 6am and 9pm. Pop stops showing music videos and adopts a full-time animated series schedule. Channel 5's older children's programming blocks Shake! and Milkshake!
June 30, 2024 at 11:47 AM. As streaming services get more expensive, consumers are increasingly turning to free content to fill out their entertainment diets. Free ad-supported streaming platforms ...
It eventually surpassed PewDiePie to become the most-viewed YouTube channel of all time by February 16, 2017, [ 14 ] and currently maintains the lead with over 255 billion total views. T-Series has also had the most monthly views since 2016, [ 15 ][ 16 ] and received more than 2.8 billion views per month as of May 2019.
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