3.Factorise the following using appropriate identities:(i) 9x2 + 6xy + – InterviewSolution

1.

3.Factorise the following using appropriate identities:(i) 9x2 + 6xy + 12(ii) 4y2 – 4y + 1

Answer»

(1) 9x^2 + 6xy + y^2= (3x)^2 + 2*(3x)*y + y^2= (3x + y)^2= (3x + y)(3x + y)

(2) 4y^2 - 4y + 1= (2y)^2 - 2*(2y)*1 + 1^2= (2y - 1)^2= (2y - 1)(2y - 1)

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