Find the coefficient of x2 in the expansion of
(x2 + x + 1)2 + (x2 - x + 1)2.
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If the sum of two numbers is 7 and sum of their cubes is 133, find the sum of their squares.
If a - b = 7 and a3 - b3 = 133, find
(i) ab
(ii) a2 + b2.
If x2 + y2 + z2 = xy + yz + zx, prove that x = y = z