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sen²x(sen²x) - cos²x(cos²x) = 2sen²x-1
sen²x(1-cos²x) - cos²x(1-sen²x) = 2sen²x-1
sen²x-sen²xcosx-cos²x+sen²xcos²x = 2sen²-1
sen²x-cos²x+sen²xcos²x-sen²xcos²x = 2sen²-1
sen²x-cos²x = 2sen²x-1
sen²x-(1-sen²x) = 2sen²x-1
sen²x+sen²x-1 = 2sen²x-1
2sen²x-1 = 2sen²x-1