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Expand the expression: (1– 2x)5 - Mathematics

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Question

Expand the expression: (1– 2x)5

Sum

Solution

By using Binomial Theorem, the expression (1– 2x)can be expanded as

`(1– 2x)^5`

= `""^5C_0  (1)^5  -  ^5C_1  (1)^4  (2x)  + ^5C_2  (3)^3  (2x)^2  -  ^5C_3  (1)^1  (2x)^4  - ^5C_5  (2x)^5`

`1 - 5 (2x) + 10(4x^2) - 10  (8x^3) + 5 (16x^4) - (32x^5)`

= `1 - 10x + 40x^2  -  80x^3 + 80x^4  - 32x^5`

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Chapter 8: Binomial Theorem - Exercise 8.1 [Page 166]

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NCERT Mathematics [English] Class 11
Chapter 8 Binomial Theorem
Exercise 8.1 | Q 1 | Page 166

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