Explaination of binomial theorem

1.	Explaination of binomial theorem
Answer» The\xa0binomial theorem\xa0(or\xa0binomial expansion) describes the algebraic expansion of\xa0powers\xa0of a\xa0binomial. According to the theorem, it is possible to expand the polynomial\xa0(<i>x</i>\xa0+\xa0<i>y</i>)<i>n</i>\xa0into a\xa0sum\xa0involving terms of the form\xa0<i>a\u200ax</i><i>b</i>\u200a<i>y</i><i>c</i>, where the exponents\xa0b\xa0and\xa0c\xa0are\xa0non negative integers\xa0with\xa0<i>b</i>\xa0+\xa0<i>c</i>\xa0=\xa0<i>n</i>, and the\xa0coefficient\xa0a\xa0of each term is a specific\xa0positive integer\xa0depending on\xa0n\xa0and\xa0b. For example (for\xa0<i>n</i>\xa0= 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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