Subtract the rational expressions to find the difference: x^2−2/4x−7−x+4/4x−7.
Responses
x^2−x−6/4x−7
the fraction with numerator x squared minus x minus 6 and denominator 4 x minus 7 - this is the correct answer
−6/4x−7
the fraction with numerator negative 6 and denominator 4 x minus 7 -incorrect
x^2−x+2/4x−7
the fraction with numerator x squared minus x plus 2 and denominator 4 x minus 7 -incorrect
x^2−x−6/8x−14 -incorrect
explain how you would get that as your correct answer x^2-x-6/4x-7
To find the difference of the rational expressions x^2 − 2/(4x − 7) − (x + 4)/(4x − 7), we need to have a common denominator. In this case, the common denominator is 4x − 7.
Next, we can combine the numerators by subtracting them.
The numerator of the difference is (x^2 − 2) - (x + 4) = x^2 − x − 6.
Therefore, the difference of the rational expressions is (x^2 − x − 6)/(4x − 7).