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