Fully simplify.

start fraction, start fraction, 5, divided by, x, squared, end fraction, minus, one fifth, divided by, start fraction, x, divided by, 5, end fraction, plus, 1, end fraction
5
x

+1
x
2

5


5
1


1 answer

To fully simplify the expression, we need to simplify each fraction separately and then combine them.

1. Simplifying the first fraction:
5 divided by x squared simplifies to 5/x^2.

2. Simplifying the second fraction:
One fifth divided by x/5 can be rewritten as (1/5) * (5/x) = 1/x.

3. Combining the fractions:
(5/x^2) - (1/x) + 1

To combine these fractions, we need a common denominator. The common denominator is x^2, so we need to multiply the numerator and denominator of the second fraction by x. This gives us:

(5/x^2) - (x/ x^2) + 1

Now we can combine the fractions:

(5 - x + x^2) / x^2 + 1

This can be simplified further, but we cannot fully simplify it without additional information or context.