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 - incorrect
x2−2x−82x−8
the fraction with numerator x squared minus 2 x minus 8 and denominator 2 x minus 8 - no response given
x+22
the fraction with numerator x plus 2 and denominator 2 -this is the correct answer
x2−2x2x
explain how you would get that as x+2/2 your answer.
To simplify the expression -4x - 4 + x^2 - 2x/2x - 8, we need to combine like terms in the numerator.
First, combine -4x and -2x to get -6x.
Next, we have x^2 in the numerator, which cannot be combined with any other terms.
The denominator remains unchanged.
Therefore, the simplified expression is (x^2 - 6x - 4)/(2x - 8).
To further simplify, we can factor the numerator if possible. However, in this case, the numerator cannot be factored further.
So, the final answer is (x^2 - 6x - 4)/(2x - 8).