math problem

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please help

Factor completely

144b^2+648bg+729g^2

  • math problem -

    start by pecking away common factors

    144b^2+648bg+729g^2
    = 9(16b^2 + 72bg + 81g^2)

    ahh, looks like perfect squares at front and back
    could (4b + 9g)^2 give us a middle term of 72 bg ??
    2(4)(9) = 72 , yeaaaahhh!

    = 9(4b+9g)^2

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