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Question
Expand the following:
`(4 - 1/(3x))^3`
Solution
`(4 - 1/(3x))^3 = (4)^3 + (-1/(3x))^3 + 3(4)(-1/(3x))(4 - 1/(3x))` ...[Using identity, (a – b)3 = a3 – b3 + 3a(– b)(a – b)]
= `64 - 1/(27 x^3) - 4/x(4 - 1/(3x))`
= `64 - 1/(27x^3) - 16/x + 4/(3x^2)`
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