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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Expand: [x+1y]3 - Mathematics

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Question

Expand: `[x + 1/y]^3`

Sum

Solution

(a + b)3 = a3 + b3 + 3ab(a + b)

`[x + 1/y]^3 = x^3 + 1/y^3 + 3 xx x xx 1/y(x + 1/y)`

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

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

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Chapter 3: Algebra - Exercise 3.4 [Page 101]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 3 Algebra
Exercise 3.4 | Q 4. (ii) | Page 101
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