Advertisements
Advertisements
Question
Factorise : `x^2 + 1/x^2 - 11`
Sum
Solution
`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 )`
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : 4a2 - (4b2 + 4bc + c2)
Factorise : 4a2 - 49b2 + 2a - 7b
Factorise : 9a2 + 3a - 8b - 64b2
Factorize : 9a2 - (a2 - 4) 2
Factorise the following by the difference of two squares:
`"m"^2 - (1)/(9)"n"^2`
Factorise the following:
9(a - b)2 - (a + b)2
Factorise the following:
25(x - y)2 - 49(c - d)2
Factorise the following:
b2 - 2bc + c2 - a2
Factorise the following:
4xy - x2 - 4y2 + z2
Factorise the following:
(a2 - b2)(c2 - d2) - 4abcd
