It's nothing to do with us bombing them (though we should pull out of course).
It's the West being blamed for the problems of society in the Middle East: the paradox of them being oil-rich but having inequality, lack of education, lack of basic freedoms, oppression of minorities and women.
That said I don't think these particular bombs were inspired by radical Islam. They didn't act like martyrs, and they didn't leave a public message that they'd done it like other groups do. I think it was more inspired by previous American bombings like Oklahoma.