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Subtract the rational expressions. (8x+2)/(x^(2)-5x+4)-(7x+6)/(x^(2)-5x+4)

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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.

User Saeed Arash
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