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Factorise the Following: X 2 + 1 X 2 − 2 - Mathematics

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Question

Factorise the following:

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

Sum

Solution

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

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

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

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

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Method of Factorisation : Difference of Two Squares
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Chapter 5: Factorisation - Exercise 5.3

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 5 Factorisation
Exercise 5.3 | Q 2.05
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