Explaination of binomial theorem
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Sia ? 6 years, 6 months ago
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 (<i>x</i> + <i>y</i>)<i>n</i> into a sum involving terms of the form <i>a x</i><i>b</i> <i>y</i><i>c</i>, where the exponents b and c are non negative integers with <i>b</i> + <i>c</i> = <i>n</i>, and the coefficient a of each term is a specific positive integer depending on n and b. For example (for <i>n</i> = 4),{tex}( x + y ) ^ { 4 } = x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }{/tex}
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