Question:

How do you factor x^2 + 4y^2 + 9z^2 +4xy -6xz -12yz?

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  1. x^2 + 4y^2 +9z^2 + 4xy - 6xz - 12yz

    =>x^2 + (2y)^2 + (-3z)^2

    .:here (x+2y-3z)^2  is expanded to get the result .

    (x+2y-3z)(x+2y-3z) are the factors.


  2. Use the formula (a+b+c)^2 = .....................

       So.. It yields ..

    (x+2y-3z)(x+2y-3z)

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