Advertisements
Advertisements
Question
Factorise the following:
`x^4 - 1/x^4`
Sum
Advertisements
Solution
Given: `x^4 - 1/x^4`
We know that,
(a + b)(a – b) = a2 – b2
Hence,
⇒ `(x^2)^2 - (1/x^2)^2`
⇒ `(x^2 + 1/x^2)(x^2 - 1/x^2)`
⇒ `(x^2 + 1/x^2)(x + 1/x)(x - 1/x)`
shaalaa.com
Is there an error in this question or solution?
