Perform the indicated operations and simplify the result. Leave your answer in factored form.
4+(4/x)/4-(4/x)
Give the answer in the form Ax+B/Cx+D
is the answer x+4/x-4
No, the answer is 4 + 1/x -4/x = -3/x + 4
To simplify the given expression, we need to find a common denominator for the fractions and then combine them.
The expression is: 4 + (4/x) / 4 - (4/x)
First, let's simplify the two fractions separately.
The first fraction, 4/x, can be written as (4 * 1)/x = 4/x.
The second fraction, 4/x, can also be written as (4 * 1)/x = 4/x.
Now, let's find the common denominator for the fractions, which is x.
The expression becomes: 4 * (x/x) + (4/x) - 4 * (x/x) - (4/x)
Simplifying further:
= (4x + 4 - 4x - 4) / x
Combining like terms:
= (4x - 4x + 4 - 4) / x
= (0x + 0) / x
= 0/x
Thus, the simplified expression is 0/x, which can be written as 0.
Therefore, the answer is 0, not x+4/x-4.