I keep getting this wrong please help

Question

Complete this activity. Include all of your work in your final answer. Submit your solution.

Given: f(x)=x^2+2x+1, find f(x+h)and simplify

Answer 1

f(x+h) = (x + h)² + 2(x + h) + 1

f(x+h) = (x + h)(x+h) + 2(x + h) + 1 FOIL the first term

f(x+h) = x² + 2xh+h² + 2(x + h) + 1 Distribute the 2 to get rid of the parenthesis

f(x+h) = x² + 2xh+h² + 2x + 2h + 1

Answer 2

f(x+h) = (x + h)² + 2(x + h) + 1

Answer 3

Ok, so it's relatively simple. So we have: f(x)=x^2+2x+1, so likewise, f(x+h)=(x+h)^2+2(x+h)+1, because x+h is the independent variable.

Next, we have x^2 +2xh + h^2 + 2x+2h +1.

Then we have: x^2 + 2x + 2xh + h^2 + 2h +1.

That is as simplified as it would get. I hope this helped.