Question

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
​

​

Answer 1

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.