Which expression is equivalent to complex fraction 3/x-1-4/2-2/x-1

Step-by-step explanation:

We have been given with the expression  

Whenever we are asked the equivalent expression of any given expression it means we have to find the simplest form of the given expression.

Taking the LCM in numerator and denominator we will get

Now we will cancel the common factor from numerator and denominator which is (x-1) we will get

after opening the parenthesis we will get

After simplifying numerator and denominator we will get

Given expression  is equivalent to

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!