Advertisements
Advertisements
Question
Factorise : a (a - 1) - b (b - 1)
Sum
Advertisements
Solution
a (a - 1) - b (b - 1)
= a2 - a - b2 + b
= a2 - b2 - a + b
= ( a + b )( a - b ) - ( a - b ) [∵ a2 - b2 = ( a + b )( a - b )]
= ( a - b )[( a + b ) - 1]
= ( a - b )[ a + b - 1 ]
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : 4a2b - 9b3
Factorise : 3a5 - 108a3
Factorise:
(a2 − 1) (b2 − 1) + 4ab
Factorise : x4 + x2 + 1
Factorise : 4x4 - x2 - 12x - 36
Factorise the following by the difference of two squares:
64x2 - 121y2
Factorise the following by the difference of two squares:
(x - 2y)2 -z2
Factorise the following:
(2a - b)2 -9(3c - d)2
Factorise the following:
y4 + y2 + 1
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
