Maharashtra State BoardHSC Science (General) 11th
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State, by writing first four terms, the expansion of the following, where |x| < 1 (1 + x)−4 - Mathematics and Statistics

Sum

State, by writing first four terms, the expansion of the following, where |x| < 1

(1 + x)−4

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Solution

(1 + x)−4

`= 1 + (-4)x + ((-4)(-4 - 1))/(2!) x^2 + ((-4)(-4 - 1)(-4 - 2))/(3!) x^3  +  ...`

`= 1 + (-4)x + ((-4)(-5))/2 x^2 + ((-4)(-5)(-6))/6 x^3  +  ...`

= 1 – 4x + 10x2 – 20x3 + ....

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 1. (i) | Page 82
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