B x.

a3 − 3 =a3 −a2 +a2 − 3 ( 3 − 2) ( 2 3) This is a standard factorization and there is a general formula for it: an −bn = (a − b)∑n−1 k=0 akbn−k−1 a n − b n = ( a − b) ∑ k = 0 n − 1 a k b n − k − 1. You can prove this simply by induction. You might try this, it is not that difficult.

B x. Things To Know About B x.

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= b x / ln b + C 2 Q.E.D. See also the proof of e u du = e u. PROOF. 2. You need not memorize this theorem. Derive it each time you use it.

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