binomial cube formula problem 2
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Calculate the following binomial cube formula:
(6x – 1)³ = ?
answer:
(6x – 1)³ =
a³ – 3a²b + 3ab² – b³
216x³ – 108x² + 18x – 1
how to calculate the parts:
a³ = 6x • 6x • 6x = 216x³
3a²b = 3 • (6x • 6x) • 1 = -108x²
3ab² = 3 • 6x • (1 • 1) = 18x
b³ = – 1 • – 1 • – 1 = – 1