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 x+2/2 in your correct answer.
To find the sum of the rational expressions, we need to combine like terms and simplify the expression.
The given expression is: -4x - 4 + x^2 - 2x / 2x - 8.
Combining like terms in the numerator:
-4x + x^2 - 2x = -2x + x^2.
Putting it all together, the simplified expression is:
(-2x + x^2) / (2x - 8).
This cannot be simplified any further, so the final answer is:
(-2x + x^2) / (2x - 8).