Calculations based a power 5 minus b power 5 (a^5 - b^5)

power 5 minus b power 5 (a5 - b5)

a5 - b5 = (a-b) (a4 + a3b + a2 b2 + ab3 +b4)

lets condiser following values 

a = 2 b =3

LHS = 25 - 35 = -211

RHS = (2-3)(24 + 23.3+22.32 + 2.33 + 34 )

         =(-1)(16 + 24 + 36 + 54 + 81)

         = -211

hence proved LHS = RHS

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