Final answer:
To subtract the rational expressions and simplify, combine the numerators by using the distributive property and then simplify the expression by combining like terms.
Step-by-step explanation:
To subtract the rational expressions and simplify, we need to have a common denominator for both expressions. In this case, the common denominator is (x + 5).
To subtract the expressions, we can now combine the numerators by using the distributive property:
(10ˣ²)/(x+5) - (25+9ˣ²)/(x+5) = (10ˣ² - (25+9ˣ²))/(x+5) = (10ˣ² - 25 - 9ˣ²)/(x+5)
Next, we can simplify the numerator by combining like terms:
(10ˣ² - 25 - 9ˣ²)/(x+5) = (10ˣ² - 9ˣ² - 25)/(x+5) = (x² - 25)/(x+5)