Fully simplify.

Question

start fraction, 2, plus, start fraction, 2, divided by, x, end fraction, divided by, start fraction, 1, divided by, x, squared, end fraction, minus, 1, end fraction
x
2

1
​
−1
2+
x
2
​

​

Answer 1

To fully simplify the expression, we can begin by simplifying the division of fractions:

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

Next, we can simplify the expression with the common denominator of x^2:

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

Simplifying further, we have:

2 + 2x - 1

Combining like terms, we get:

2x + 1