Subtract the rational expressions to find the difference: x2−24x−7−x+44x−7 .(1 point)
Responses
x2−x−64x−7
Start Fraction x squared minus x minus 6 over 4 x minus 7 End Fraction
−64x−7
Start Fraction negative 6 over 4 x minus 7 End Fraction
x2−x+24x−7
Start Fraction x squared minus x plus 2 over 4 x minus 7 End Fraction
x2−x−68x−14
The correct answer is: x2 − x − 68x − 14
To subtract the rational expressions x^2-24x-7 and -x+44x-7, combine like terms by adding or subtracting the coefficients of the corresponding terms.
The final difference is: x^2 - x - 68x - 14.
To subtract rational expressions, we first need to combine like terms. In this case, we have:
x^2 - 24x - 7 - (x + 44x - 7)
To simplify, we can distribute the negative sign to each term inside the parentheses:
x^2 - 24x - 7 - x - 44x + 7
Now, let's combine the like terms:
(x^2 - x) + (-24x - 44x) + (-7 + 7)
Simplifying further:
x^2 - x - 68x
Therefore, the difference of the rational expressions is x^2 - x - 68x. Thus, the correct option is:
x^2 - x - 68x.