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Factorisation by Common Factors

Factorise : i...

Question

Factorise :

$(i) 16 a^{2} - 24 a b (i i) 15 a b^{2} - 20 a^{2} b (i i i) 12 x^{2} y^{3} - 21 x^{3} y^{2}$

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Solution

$(i) 16 a^{2} - 24 a b = 8 a (2 a - 3 b) {H C F o f 16 a n d 24 = 8} (i i) 15 a b^{2} - 20 a^{2} b = 5 a b (3 b - 4 a) {H C F o f 15 a n d 20 = 5} (i i i) 12 x^{2} y^{3} - 21 x^{3} y^{2} = 3 x^{2} y^{2} (4 y - 7 x) A n s . {H C F o f 12 a n d 21 = 3}$

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