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Maharashtra State BoardSSC (English Medium) 8th Standard

Expand. (1 - 1a)3 - Marathi (Second Language) [मराठी (द्वितीय भाषा)]

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Question

Expand.

`(1 - 1/a)^3`

Sum

Solution

`(1 - 1/a)^3`

(a − b)3 = a3 − 3a2b + 3ab2 − b3

her taking a = 1 and b = `(1/a)`

= `(1)^3  - 3 xx (1)^2 xx (1/a) + 3 xx 1 xx (1/a)^2 - (1/a)^3`

= `1 - 3 xx 1/a + 3 xx 1/a^2 - 1/a^3`

= `1 - 3/a + 3/a^2 - 1/a^3`

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Chapter 5: Expansion formulae - Practice Set 5.3 [Page 27]

APPEARS IN

Balbharati Mathematics [English] 8 Standard Maharashtra State Board
Chapter 5 Expansion formulae
Practice Set 5.3 | Q 1.7 | Page 27
Balbharati Integrated 8 Standard Part 1 [English Medium] Maharashtra State Board
Chapter 3.5 Expansion formulae
Practice Set 5.3 | Q 1. (7) | Page 66
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