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



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