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If x + y = 4, find the value of x3 + y3 + 12xy - 64
Without actually calculating the cubes, find the values of:
(i) (27)3 + (-17)3 + (-10)3
(ii) (-28)3 + (15)3 + (13)3
If x - y = 8 and xy = 5, find x2 + y2.
If x + y = 10 and xy = 21, find 2(x2 + y2).