( (1/x+h)+1/x ) /x where do i start in order to simplify this?



Answers:
I think you meant to put parentheses around (x+h) and not the whole fraction.

(1/(x+h) +1/x) / x

First start with the top by getting a common denominator.
1/(x+h) + 1/x
= x/[x(x+h)] + (x+h)/[x(x+h)]
= (x +x+h) / [x(x+h)]
= (2x+h) / [x(x+h)]

The last step is to divide by x.
((2x+h) / [x(x+h)]) / x
= ((2x+h) / [x(x+h)]) (1/x)
= (2x+h) / [x^2 (x+h)]
Remove the parentheses around 1/x+h, they are useless.

(1/x+h+1/x)/x

1/x + 1/x = 2/x, so...

(2/x+h)/x

Dividing by x is the same as multiplying by 1/x. So multiply each term in the numerator by 1/x, to get rid of that ugly double fraction. Your final answer is...

2/x^2 + h/x
( 2x+h ) / x = 2 + (h / x)
get rid of the brachets first and keep doing it until there are no brachets that makes it easier
Add (1/x+h)= Result#1
Now add (Result#1) +(1/x)= Result#2
Finally, (Result#2/x)

Hint: common denominators!
1/x=h

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