# Simplify first three terms in the expansion of the following (1 + 2x)–4 - Mathematics and Statistics

Sum

Simplify first three terms in the expansion of the following

(1 + 2x)–4

#### Solution

(1 + 2x)–4

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

= 1 - 8x + ((-4)(-5))/2 (4x^2) + ...

= 1 – 8x + 40x2 + ......

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. (i) | Page 82