1.1 + 2 + 2 square + 2 cube + +2 =? 2. How many sets of integer solutions are there for the equation (square of X - square of y = 1991)? 3. (2x square + X + 1) cube = 6 times of a0x + 5 times of a1x + 4 times of a2x + 3 times of a3x + 2 times of a4x + a5x + A6 Find A0 + A1 + A2 + a3 + A4 + A5 + A6 =? I hope you will understand me | Math enthusiast | Mathematical art

1.1 + 2 + 2 square + 2 cube + +2 =? 2. How many sets of integer solutions are there for the equation (square of X - square of y = 1991)? 3. (2x square + X + 1) cube = 6 times of a0x + 5 times of a1x + 4 times of a2x + 3 times of a3x + 2 times of a4x + a5x + A6 Find A0 + A1 + A2 + a3 + A4 + A5 + A6 =? I hope you will understand me

1. Sum formula of equal ratio sequence: 1 * (1-2 ^ 2012) / (1-2) = 2 ^ 2012 - 12. (X-Y) (x + y) = 1991, because X and y are integers, 1991 = 11 * 181 = 1 * 1991, so there must be X-Y = 1, X + y = 1991, the solution is x = 996, y = 995, or X-Y = 1991, x + y = 1, the solution is x = 996, y = - 9

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