factorise the expression using the suitable identities 27x^2-36xy+12y^2
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Given that : 27x^2-36xy+12y^2
Greatst common factor = 3
So we will get: 3(9x^2-12xy+4y^2)
Recall the rule: a^2-2ab+b^2= (a-b)^2
So 3(9x^2-12xy+4y^2)= 3[(3x)^2-2(3x)(2y)+(2y)^2]= 3(3x-2y)^2
So 27x^2-36xy+12y^2= 3(3x-2y)^2
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