Final answer:
To subtract (4r⁵ +8r² -4)-(8r⁵ -6r² +11), distribute the negative sign and combine like terms to get -4r⁵ + 14r² - 15.
Step-by-step explanation:
To subtract (4r⁵ +8r² -4)-(8r⁵ -6r² +11), we need to distribute the negative sign to all the terms inside the parentheses. This can be done by changing the signs of each term inside the second set of parentheses. So the expression becomes:
4r⁵ + 8r² - 4 - 8r⁵ + 6r² - 11
Now, we can combine like terms. The terms with the same variables and exponents can be grouped together. So the expression becomes:
(4r⁵ - 8r⁵) + (8r² + 6r²) + (-4 - 11)
-4r⁵ + 14r² - 15