Saturday, August 15, 2015

Use the Binomial Theorem to expand and simplify the expression.



You need first to factorize , such that:



You need to use the binomial formula, such that:



You need to replace x for x, 3for y and 2 for n, such that:



By definition, nC0 = nCn = 1, hence


By definition , hence




You need first to factorize , such that:



You need to use the binomial formula, such that:



You need to replace x for x, 3for y and 2 for n, such that:



By definition, nC0 = nCn = 1, hence


By definition , hence



Replacing the binomial expansion for  yields:






Grouping the like terms yields:



Hence, expanding and simplifying the expression yields

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