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mrsdebra1966
Lv 7
Diophantine equation problem. How do I write it out?
(A^x + B^y)^3 = C^3
How do I write this out on the left side to show taking it to the 3rd power?
Update:
I need to know how to distribute (A^x + B^y)(A^x + B^y)(A^x + B^y)
1 Answer
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- ?Lv 58 years agoFavorite Answer
(A^x + B^y)^2 = (A^x + B^y)(A^x + B^y) = A^(2x) + 2A^xB^y + B^(2y)
so
(A^x + B^y)^3 = (A^(2x) + 2A^xB^y + B^(2y))(A^x + B^y) = A^(3x) + 3A^(2x)B^y + 3A^xB^(2y) + B^(3y)
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