Prove that n! > 2^n+2 for n ≥ 6

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial). ! i do not understand, any is appreciated : ) whoever gets the best answer recieves brainliest and points! (4x–12x²)(16y³+12y²)

You dug a hole that was 8 feet deep. after taking a short break, you dug down 3 more feet in the same hole. when finished digging, a tractor accidentally filled the hole with 4 feet of dirt. how deep is your hole now?

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?