Question

What is the difference of the rational expressions below?
3x/x-5 -4/x

Answer 1

3x^2-4x+20

-----------------

x(x-5)

Explanation:

Answer 2

3x^2-4x+20/x^2-5x .

Explanation:

The given rational expression is:

3x/x-5 - 4/x

Hence to find the difference of the rational numbers we have to take the L.C.M of the denominators:

Thus the L.C.M of x-5 and x is (x-5)(x) and then solve for the numerator:

x(3x) - 4(x-5)/(x-5)(x)

Now solve the numerator and denominator:

3x^2-4x+20/x^2-5x

Thus the answer is 3x^2-4x+20/x^2-5x ....