Simplify:
1 1
_____ _ ____
5 + h 5
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h
Thank you :)))
i'll rewrite it again:
1/5+h - 1/5
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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.