Do you not multiply the h in the denominator by x^2(x+h)^2 as well?
I am having a rather frustrating time simplifying this expression...
{[1/(x+h)^2]-[1/x^2]}/h
my first step as instructed by my pre-calculus textbook is to multiply [x^2(x+h)^2] to both the numerator and denominator as a result I see:
{[x^2(x+h)^2]/(x+h)^2}-[x^2(x+h)^2]/x^2
I think my treatment of fractions is the problem because my next action is to eliminate (x+h)^2 from the num. and denom. of the left expression and x ^2 from the num. and denom. of the right expression leaving me with:
[x^2-(x+h)^2]/[hx^2(x+h)^2]
this is my dead end and I know that the only reason I am here is because I cannot see past the error in my mind, please help me.
yes and that is where I see no further...I am confused as to how to get to the answer in the book which is stated to be:
-{[2x+h]/[x^2(x+h)^2]} with restrictions such that x and h {-=} 0 and x{-=} -h
the majority of my confusion lies in the origin of the number 2...