Factories:

i. 9x3 – 6x2 + 12x


ii. 8x3 – 72xy + 12x


iii. 18a3b3-27a2b3+36a3b2

(i) Let’s find out the HCF of 9x3 , 6x2 , 12x


3x



9x3 , 6x2 , 12x




3x2 , 2x , 4



3x is the highest common factor which divides 9x3, 6x2 and 12x.


So,


9x3 – 6x2 + 12x = 3x(3x2 - 2x + 4)


(ii) Let’s find out the HCF of 8x3, 72xy and 12x


4x



8x3, 72xy, 12x




2x, 18y, 3



4x is the highest common factor which divides 8x3, 72xy and 12x.


So,


8x3 – 72xy + 12x = 4x(2x2 – 18y + 3)


(iii) Let’s find out the HCF of 18a3b3, 27a2b3, 36a3b2


9a2b2



18a3b3, 27a2b3, 36a3b2




2ab, 3b, 4a



9a2b2 is the highest common factor which divides 18a3b3, 27a2b3, 36a3b2.


So,


18a3b3 – 27a2b3 + 36a3b2 = 9a2b2 (2ab - 3b + 4a)


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