Final answer:
To subtract rational expressions, find a common denominator. Combine like terms in the numerator, and simplify the expression.
Step-by-step explanation:
To subtract rational expressions, we need to find a common denominator for the two expressions. In this case, the common denominator is (2a + 7). So, we can rewrite the given expressions as:
((a² + 15a - 1) - (a² + 9a - 22))/(2a + 7)
Now, we can combine like terms in the numerator:
(a² + 15a - 1 - a² - 9a + 22)/(2a + 7)
Next, simplify the numerator:
(6a + 21)/(2a + 7)
Therefore, the subtracted rational expression is (6a + 21)/(2a + 7).