Factorise :

$(i) 9 x^{3} - 6 x^{2} + 12 x (i i) 8 x^{2} - 72 x y + 12 x (i i i) 18 a^{3} b^{3} - 27 a^{2} b^{3} + 36 a^{3} b^{2}$

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Solution

$(i) 9 x^{3} - 6 x^{2} + 12 x = 3 x (3 x^{2} - 2 x + 4) {H C F o f 9, 6, 12 = 3} (i i) 8 x^{2} - 72 x y + 12 x = 4 x (2 x - 18 y + 3) {H C F o f 8, 72, 12 = 4} (i i i) 18 a^{3} b^{3} - 27 a^{2} b^{3} + 36 a^{3} b^{2} = 9 a^{2} b^{2} (2 a b - 3 b + 4 a) A n s . {H C F o f 10, 27, 36 = 9}$

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