Maharashtra State BoardHSC Science (General) 11th
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Simplify first three terms in the expansion of the following (1+3x)-12 - Mathematics and Statistics

Sum

Simplify first three terms in the expansion of the following

`(1 + 3x)^(-1/2)`

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Solution

`(1 + 3x)^(-1/2) = 1 + (-1/2)(3x) + ((-1/2)(-1/2 - 1))/(2!) (3x)^2 + ...`

= `1 - (3x)/2 + (-1/2)(-3/2)(1/2)(9x^2) + ....`

= `1 - (3x)/2 + (27x^2)/8 + ...`

Concept: Binomial Theorem for Negative Index Or Fraction
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Methods of Induction and Binomial Theorem
Exercise 4.4 | Q 3. (ii) | Page 82
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