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a5+b5 = (a+b) (a4-a3b+a2b2-ab3+b4)
Assuming that you want (ab^3)^4, which is impossible to ask given the crap browser used by Answers, the solution is A^4b^12.
Theorem 3 : Any line parallel to the sides of a trapezium (trapezoid) divides the non-parallel sides proportionally.Given : ABCD is a trapezoid. DC AB. EF AB and EF DC.Prove that : AE/ED = BF/FCConstruction : Join AC, meeting EF in G.StatementsReasons1) EG DC1) Given (in ΔADC)2) AE/ED = AG/GC2) By Basic proportionality theorem3) GF AB3) Given (in ΔABC)4) AG/GC = BF/FC4)By Basic proportionality theorem5) AE/ED = BF/FC5) From (2) and (4)Source: ask-math.com