Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Simplify 4xx2-1-x+1x-1 - Mathematics

Sum

Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`

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Solution

`(4x)/((x + 1)(x - 1)) - (x + 1)/((x - 1))`

= `(4x - (x + 1)(x + 1))/((x + 1)(x - 1))`

= `(4x - (x^2 + 2x + 1))/((x + 1)(x - 1))`

= `(4x - x^2 - 2x - 1)/((x + 1)(x - 1))`

= `(-x^2 + 2x - 1)/((x + 1)(x - 1))`


= `(-(x^2 - 2x + 1))/((x + 1)(x - 1))`

= `(-(x - 1)(x - 1))/((x + 1)(x - 1))`

= `(1 - x)/(x + 1)`

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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.6 | Q 2. (ii) | Page 103
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