intermidate algebra

Just not good at this, factor complete, or state that the polynomial is prime.
9y^4+42y^3+49y^2
(9+y)(9-y)+42(y+3)(y-3)^2+49(y+2(y-2)
I can not seem to get it right. so help me please

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  1. 9y^4+42y^3+49y^2
    always look for a common factor first, sure enough - y^2
    = y^2(9y^2 + 42y + 49)
    mmmhh? squares in front and back, is it a perfect square? yup!!
    = y^2(3y+7)(3y+7)

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