Factorize:
(i) x3 - 3x2 + x – 3
(ii)63x2y2 - 7
(iii) 1 - 6x + 9x2
(iv)
(i) x3 - 3x2 + x – 3
By hit and trial method we find that x = 3 is a factor of it
So, on dividing x3 - 3x2 + x – 3 by we get
x3 - 3x2 + x – 3 =
(ii) 63x2y2 - 7
= { Using the identity :
}
(iii) 1 - 6x + 9x2
Using the identity :
1 - 6x + 9x2 = (3x - 1)2
(iv)
Using middle term splitting, we get