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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Write the following expression in terms of α + β and αβ α3β+β3α - Mathematics

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Question

Write the following expression in terms of α + β and αβ

`alpha/(3beta) + beta/(3alpha)`

Sum
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Solution

`alpha/(3beta) + beta/(3alpha) = (alpha^2 + beta^2)/(3alphabeta)`  ...[a2 + b2 = (a + b)2 – 2ab]

= `((alpha + beta)^2 - 2alphabeta)/(3alphabeta)`

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Chapter 3: Algebra - Exercise 3.14 [Page 122]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.14 | Q 1. (i) | Page 122
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