Factorise : X^2 + 1/X^2 - 11

Factorise : `x^2 + 1/x^2 - 11`

Sum

`x^2 + 1/x^2 - 11`

= `x^2 + 1/x^2 - 2 - 9`

= `x^2 + 1/x^2 - 2 xx x xx 1/x - 9`

= `( x - 1/x )^2 - (3)^2`

= `( x - 1/x + 3 )( x - 1/x - 3 )`

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Method of Factorisation : Difference of Two Squares

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Chapter 5: Factorisation - Exercise 5 (C) [Page 73]

Chapter 5 Factorisation
Exercise 5 (C) | Q 27 | Page 73

Factorise : a³ + 2a² - a - 2

Factorise : 4a² - 49b² + 2a - 7b

Factorise the following by the difference of two squares:
441 - 81y²

Factorise the following by the difference of two squares:
8xy² - 18x³

Factorise the following by the difference of two squares:
16a⁴ - 81b⁴

Factorise the following by the difference of two squares:
(x + y)² -1

Factorise the following by the difference of two squares:
x² + y² - z² - 2xy

Factorise the following by the difference of two squares:
(x - 2y)² -z²

Factorise the following:

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

Factorise the following:
y⁴ + y² + 1