MCQ
The formulae ${(a + b)^m} = {a^m} + m{a^{m - 1}}b + \frac{{m(m - 1)}}{{1.2}}{a^{m - 2}}{b^2} + ....$ holds when
- A$b < a$
- B$a < b$
- C$|a|\, < \,|b|$
- ✓$|b|\, < \,|a|$
✓
Answer
Correct option: D.
$|b|\, < \,|a|$
d
(d) The expression can be written as ${a^m}\left\{ {{{\left( {1 + \frac{b}{a}} \right)}^m}} \right\}$
(d) The expression can be written as ${a^m}\left\{ {{{\left( {1 + \frac{b}{a}} \right)}^m}} \right\}$
Hence it is valid only when $\left| {\frac{b}{a}} \right| < 1$
$\Rightarrow |b|\, < \,|a|$.
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