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Factorize the following expressions: 27x^2 – 12y^2

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Factorize the following expressions:

 27x2 – 12y2

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We have,

27x2 – 12y2

= 3 [(3x)2 – (2y)2]  (By using the formula (a2 – b2) = (a-b) (a+b))

= 3 (3x + 2y) (3x – 2y)

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