Advertisements
Advertisements
Question
Factorise the following:
(x + y)3 - x - y
Sum
Advertisements
Solution
(x + y)3 - x - y
= (x + y)(x + y)2 - (x + y)
= (x + y)[(x + y)2 - 1]
= (x + y)[(x + y + 1)(x + y - 1)]
= (x + y)(x + y + 1)(x + y - 1).
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : 25a2 - 9b2
Factorise : 4xy - x2 - 4y2 + z2
Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2
Factorise : (a + b) 2 - a2 + b2
Factorise : `x^2 + 1/x^2 - 11`
Factorise the following by the difference of two squares:
x6 - 196
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
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
Express each of the following as the difference of two squares:
(x2 + 2x - 3) (x2 - 2x + 3)
