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

Find the excluded values, of the following expression x2+6x+8x2+x-2 - Mathematics

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Question

Find the excluded values, of the following expression

`(x^2 + 6x + 8)/(x^2 + x - 2)`

Sum

Solution

x2 + 6x + 8 = (x + 4) (x + 2)

x2 + x – 2 = (x + 2) (x – 1)

`(x^2 + 6x + 8)/(x^2 + x - 2) = ((x + 4)(x + 2))/((x + 2)(x - 1))`

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



The expression `(x + 4)/(x - 1)` is undefined

when x – 1 = 0

∵ x = 1

The excluded value is 1

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Rational Expressions
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Chapter 3: Algebra - Exercise 3.4 [Page 99]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.4 | Q 2. (iii) | Page 99
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