Advertisements
Advertisements
Question
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
Sum
Solution
(x2 - 2x + 3)(x2 + 2x + 3)
= [x2 + 3 - 2x][x2 + 3 + 2x]
= [(x2 + 3) - 2x][(x2 + 3) + 2x]
= (x2 + 3)2 - (2x)2
= (x2 + 3)2 - 4x2.
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 : a2 - 81 (b-c)2
Factorise : 3a5 - 108a3
Factorise : a (a - 1) - b (b - 1)
Factorise : 4a2 - (4b2 + 4bc + c2)
Factorise:
(a2 - 1) (b2 - 1) + 4ab
Factorise : a2 ( b + c) - (b + c)3
Factorise the following by the difference of two squares:
16a4 - 81b4
Factorise the following by the difference of two squares:
a(a - 1) - b(b - 1)
Factorise the following:
25(x - y)2 - 49(c - d)2
