Question 467985
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Hi, Yes! Your factoring completely was good work
200w^2+640wg+512g^2 
8(25w^2 + 80wg + 64g^2)
8(5w + 8g)(5w + 8g) = 8(5w + 8g)^2
May check Your factoring using the FOIL Method
F	First terms 25w^2
O	Outside terms 40wg
I	Inside terms  40wg
L	Last terms    64g^2