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Expand the following: (1x+y3)3 - Mathematics

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Question

Expand the following:

`(1/x + y/3)^3`

Sum

Solution

`(1/x + y/3)^3 = (1/x)^3 + (y/3)^3 + 3(1/x)(y/3)(1/x + y/3)`  ...[Using identity, (a + b)3 = a3 + b3 + 3ab(a + b)]

= `1/x^3 + y^3/27 + y/x(1/x + y/3)` 

= `1/x^3 + y^3/27 + y/x^2 + y^2/(3x)`

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Chapter 2: Polynomials - Exercise 2.3 [Page 21]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.3 | Q 31. (ii) | Page 21

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