Q4 of 157 Page 30

Factorize :

3x3 – 75x

Given 3x3 – 75x = 3x × x2 – 3x × (5)2


Taking 3x common,


3x3 – 75x = 3x (x2 – (5)2)


Comparing with a2 – b2 = (a + b) (a – b)


a = x and b = 5


So, 3x3 – 75x = 3x(x + 5)(x – 5)


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