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If m = – 4, n = – 2, then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is
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- – 126
- 124
- – 124
- 126
- – 126
Correct Option: A
Using Rule 8 and 9,
Expression = m3 - 3m2 + 3m + 3n + 3n2 + n3
Expression = m3 - 3m2 + 3m - 1 + n3 + 3n2 + 3n + 1
Expression = (m - 1)3 + (n + 1)3
Expression = (-4 - 1)3 + (-2 + 1)3
Expression = (-5)3 + (-1)3 = – 125 – 1 = – 126
