emilyy32 emilyy32
  • 23-07-2019
  • Mathematics
contestada

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

Respuesta :

absor201
absor201 absor201
  • 23-07-2019

Answer:

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

Step-by-step 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 ....

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