If x + 3y = 5, prove that x3 + 27y3 + 45xy = 125.
If p + q = 1 +pq, prove that p3 + q3 = 1 + p3q3
Solve: (a) (x + 3)3 (b) (2x + 3y)3 (c) (3x - 12x )3
If a + 1/a = p, prove that a3 + 1/a3 = p(p2 -3)
If (x2 + 1)/x = 4, find the value of 2x3 + 2/x3.
If x + 1x = 103 , find the value of x3 – 1/x3.
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