Find the cube of 3a - 2b.
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Solving,
(3a - 2b)3 = (3a)3 - (2b)3 - 3 × 3a × 2b(3a - 2b)
= 27a3 - 8b3 - 18ab(3a - 2b)
= 27a3 - 8b3 - 54a2b + 36ab2.
Hence, cube of 3a - 2b = 27a3 - 8b3 - 54a2b + 36ab2.
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If x + 3y + 2z = 0, the value of x3 + 27y3 + 8z3 is :
9xyz
6xyz
18xyz
xyz
Find the cube of 5a + 3b.