Add the rational expressions to find the sum: −4x−4+x2−2x2x−8. Put the answer into its simplest form.

Question

Responses

x2−2x−4x−4
the fraction with numerator x squared minus 2 x minus 4 and denominator x minus 4 -

x2−2x−82x−8
the fraction with numerator x squared minus 2 x minus 8 and denominator 2 x minus 8 -

x+22
the fraction with numerator x plus 2 and denominator 2 -

x2−2x2x
explain how you would get that as your correct answer x+2/2

Answer 1

To find the sum of the given rational expressions: -4x - 4 / (x^2 - 2x) - 8 / (2x)

Combine the numerators by subtracting the first fraction from the second:

(-4x - 4) - (8 / 2x) = -4x - 4 - 4x = -8x - 4

Combine the denominators by finding a common denominator, which is the product of the two denominators:

(x^2 - 2x)(2x)

Now the sum is:

(-8x - 4) / (x^2 - 2x)(2x)

This fraction is already in its simplest form, so the answer is (-8x - 4) / (x^2 - 2x)(2x).