Explanation:
To simplify the expression:
(-11r² +8rs + 4s² ) − (11r² − 4rs – 3s²), we need to perform the subtraction operation by distributing the negative sign to each term inside the parentheses:
-11r² + 8rs + 4s² - 11r² + 4rs + 3s²
Now we can combine like terms by adding or subtracting coefficients of the same variables:
(-11r² - 11r²) + (8rs + 4rs) + (4s² + 3s²)
Simplifying further, we get:
-22r² + 12rs + 7s²
Therefore, the simplified expression is -22r² + 12rs + 7s².