Final answer:
To subtract the rational expressions with a common denominator, you can directly subtract the numerators, combine like terms, and place the result over the common denominator. The subtraction gives x-4, so the simplified expression is (x-4)/(x^2-5x+4).
Step-by-step explanation:
To subtract the rational expressions, we observe that they share a common denominator of x2 - 5x + 4. Since the denominators are the same, we can directly subtract the numerators:
(8x + 2) - (7x + 6)
When we subtract, we get:
8x + 2 - 7x - 6
Simplify the expression by combining like terms:
x - 4
Therefore, the simplified form of the expression is:
(x - 4) / (x2 - 5x + 4)
We do not need to use the rules for Division of Exponentials, as this is a case of subtraction of polynomials.