Advertisements
Advertisements
Question
Factorise : (a + b)3 - a - b
Advertisements
Solution
(a + b)3 - a - b
= ( a + b )3 - ( a + b )
= ( a + b )[ ( a + b )2 - 1 ]
= ( a + b )[ ( a + b )2 - (1)2 ]
= ( a + b )[( a + b ) + 1 ][( a + b ) - 1] [ ∵ a2 - b2 = ( a + b )( a - b )]
= ( a + b )( a + b + 1 )( a + b - 1 )
APPEARS IN
RELATED QUESTIONS
Factorise : 25(2a - b)2 - 81b2
Factorise : 9a2 + 3a - 8b - 64b2
Factorise : 4xy - x2 - 4y2 + z2
Factorise:
(a2 − 1) (b2 − 1) + 4ab
Factorise : a2 ( b + c) - (b + c)3
Factorise the following by the difference of two squares:
64x2 - 121y2
Factorise the following by the difference of two squares:
625 - b2
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:
(x - 2y)2 -z2
