Simplify:

1 1
_____ _ ____

5 + h 5
_________________
h

Thank you :)))

i'll rewrite it again:

1/5+h - 1/5
____________

h

need your answer.

You mean these

5/5+h-1/5/6
5-(5+h)/5(5+h)/h
5-5+h/25+5h/h
h/25+5h/h
h/25+5h*1/h
1/5(5+h).....

To simplify the given expression, we need to find a common denominator for the two fractions in the numerator and add them together.

Let's start by multiplying the first fraction by (5 + h)/(5 + h) and the second fraction by (1/h)/(1/h).

First fraction:
1/(5 + h) * (5 + h)/(5 + h) = (5 + h) / ((5 + h)(5 + h))

Second fraction:
1/5 * (1/h)/(1/h) = (1/5) * (h/1) = h/5

Now, we can rewrite the expression with the common denominator of (5 + h)(5 + h):

(5 + h) / ((5 + h)(5 + h)) - h/5

To combine the fraction, they need to have the same denominator.

To get a common denominator, multiply the first fraction by 5/5 and the second fraction by (5 + h)/(5 + h):

(5(5 + h) - h(5 + h)) / [(5 + h)(5 + h)(5)]

Expanding the numerator, we have:

(25 + 5h - 5h - h^2) / [(5 + h)(5 + h)(5)]

Simplifying the numerator, we get:

(25 - h^2) / [(5 + h)(5 + h)(5)]

So, the simplified expression is:

(25 - h^2) / [(5 + h)(5 + h)(5)]

Note: This is the simplified expression; no further simplification is possible since the numerator cannot be factored any further.