Advertisements
Advertisements
Question
Factorise the following:
a2 + b2 – c2 – d2 + 2ab – 2cd
Sum
Advertisements
Solution
a2 + b2 – c2 – d2 + 2ab – 2cd
= (a2 + b2 + 2ab) – (c2 + d2 + 2cd)
= (a + b)2 – (c + d)2
= (a + b + c + d) (a + b – c – d)
shaalaa.com
Method of Factorisation : Difference of Two Squares
Is there an error in this question or solution?
RELATED QUESTIONS
Factorise : 25a2 - 9b2
Factorise : 25(2a - b)2 - 81b2
Factorise : a2 + b2 - c2 - d2 + 2ab - 2cd
Factorise : 4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise : (a2 + b2 - 4c2)2 - 4a2b2
Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2
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:
(x + y)3 - x - y
Factorise the following:
(a2 – b2)(c2 – d2) – 4abcd
