Answer: 4h^2+16h
Step-by-step explanation:
1.) first you plug in 2 into 4x^2+1, so 4(2)^2+1, which once you solve gives you 17
2.) then you plug in 2+h into 4x^2+1, so 4(2+h)^2+1 which gives you 4h^2+16h+17
3.) you do the difference quotient formula which in this case is just (4h^2+16h+17)-(17) <-- the result from plugging in 2
4.) this ends up giving you the answer: 4h^2+16h
