Is it feasible to exhaust my grow box into the house?

Well, trying to be discreet as possible, I want to build a grow box, could I use a Y connector with my exhaust duct and the ducting going through out the house for even heat distribution so my house doesn't look suspicious from a helicopter using infrared, is this a good idea?

you can do that but you'd better have a good carbon filter so your whole house doesn't start to smell like weed.