Math, asked by tegite, 1 year ago

factorise the expression using the suitable identities 27x^2-36xy+12y^2

Answers

Answered by sarajevo
14

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

Answered by llakshmikommu
7

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