Question

If f(x)=x^2+2x+1 show that f(x+2)-f(x)=4x +8

Answer 1

Answer:

Step-by-step explanation:

Given

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

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

        =x^2+4x+4+2x+4+1

        =x^2+6x+9

Therefore,

f(x+2)-f(x)=(x^2+6x+9)-(x^2+2x+1)

              =x^2+6x+9-x^2-2x-1

              =4x +8