Tips please on math?

x= -1;

then put in eq. f(x+h)= (x+h)^2+2(x+h)+1

put the value of x= -1

u get

f(x+h)=h^2+2

f(x)=x^2+2x+1

f(x+h) = (x+h)^2 + 2(x+h) + 1

Now get these into better forms by calculating/distributing them out. Combine all like terms.

f(x+h) = (x+h)(x+h) + (2x + 2h) + 1

f(x+h) = x^2 + xh + xh + h^2 + 2x + 2h + 1

f(x+h) = x^2 + 2xh + h^2 + 2x + 2h + 1 This is simplified.

Now you need to find f(x+h)

You just need to plug in x+h in for x:

f(x+h) = (x+h)^2 + 2*(x+h) + 1

f(x+h) = (x+h)(x+h) + 2(x+h) + 1

f(x+h) = [x^2 + 2xh + h^2] + [2x + 2h] + 1

f(x+h) = x^2 + 2xh + h^2 + 2x + 2h + 1

And you can’t really simplify the equation after that.

f(x+h) = (x+h)^2+2(x+h)+1 and then simplify

x^2+2xh +h^2+2x+2h+1

then simplify again if you want.