Advertisements
Advertisements
Question
Factorise : a4 - 1
Sum
Solution
a4 - 1
= ( a2 )2 - ( 1 )2
= ( a2 + 1 )( a2 - 1 ) [ ∵ a2 - b2 = ( a + b )( a - b )]
= ( a2 + 1 )[ (a)2 - (1)2 ]
= ( a2 + 1 )( a + 1 )( a - 1 )
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : (a + b)3 - a - b
Factorise : 4a2 - (4b2 + 4bc + c2)
Factorise : a2 ( b + c) - (b + c)3
Factorise the following by the difference of two squares:
625 - b2
Factorise the following:
25(x - y)2 - 49(c - d)2
Factorise the following:
(2a - b)2 -9(3c - d)2
Factorise the following:
b2 - 2bc + c2 - a2
Factorise the following:
a2 + b2 - c2 - d2 + 2ab - 2cd
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)
