Advertisements
Advertisements
Question
Express each of the following as the difference of two squares:
(x2 - 2x + 3)(x2 + 2x + 3)
Sum
Advertisements
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 : a2 - 81 (b-c)2
Factorise : 50a3 - 2a
Factorise : a3 + 2a2 - a - 2
Factorise : (a + b)3 - a - b
Factorise : 4a2 - 49b2 + 2a - 7b
Factorise : 4x2 - 12ax - y2 - z2 - 2yz + 9a2
Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2
Factorise the following by the difference of two squares:
x2 - 16
Factorise the following by the difference of two squares:
441 - 81y2
Factorise the following by the difference of two squares:
x6 - 196
