Could someone please explain this problem to me.

I need to factor and check by multiplying.
7x^9y^7+35x^7y^6+35xy=
Here is what I got but I don't think that it is right.
7x^9y^7+35x^7y^6+35xy= 7xy(x^8y^6+5x^6y^5+5)
Is this correct?
Thanks.

this is ok