using algebraic expression derive a general formula
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Step-by-step explanation:
Generic Algebra Formulas
The general algebra formulas can be given as:
n is a natural number: an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
If n is even: (n = 2k), an + bn = (a – b)(an-1 + an-2b +…+ bn-2a + bn-1)
n is odd: (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +an-3b2…- bn-2a + bn-1)
General square Formula: (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….)
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