Question

Guys plsss i need help. It needs work too

Answer 1

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

Option D is correct option.

Explanation:

We are given:
`f(x)=x^2+2x`

We need to find f(x+h)

For finding f(x+h) we need to replace x by x+h

`f(x+h)=(x+h)^2+2(x+h)\\We \ know \ (a+b)^2=a^2+2ab+b^2\\f(x+h)=x^2+2xh+h^2+2x+2h`

Finding f(x+h) we get:

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

Option D is correct option.