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Next we consider the a 2 terms.
Abc3 formula expansion. In elementary algebra the binomial theorem or binomial expansion describes the algebraic expansion of powers of a binomialaccording 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. In mathematics a trinomial expansion is the expansion of a power of a sum of three terms into monomialsthe 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. Its the same for a b and c of course 3a 2 b3a 2 c.
We can choose three as for the cube in one way c331 or we can choose an a from the first factor and one from the second and one from the third being the only way to make a3. A 3 b 3 c 3. Math a3 b3 a ba2 b2 ab math lets try to derive this expansion from the expansion of math a b 3 math we have matha b 3 a3.
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