How do I solve this using the foil method?

F  =  multiply the first term in each set of parentheses together

This gives us  5xy^2 * xy^2  =  5x^2y^4

O =   multiply  the " outside terms" together

This gives us  5xy^2 * (-4)  =  -20xy^2

I = multiply the "inside  terms" together

This gives us   1 * xy^2  =  xy^2

L  =  multiply the last term in each set of parentheses together

This gives us  (+1) (-4)  =  - 4

So....combining the terms we get

5x^2y^4 - 20xy^2 + xy^2 - 4  =

5x^2y^4 - 19xy^2 - 4