To simplify the given expression, you can combine like terms:
\(-6a^2 - 3ab + 7b^2 - 4a^2 - 4ab + 4b^2\)
Combine the terms with the same variables:
\((-6a^2 - 4a^2) + (-3ab - 4ab) + (7b^2 + 4b^2)\)
Simplify each group of terms:
\(-10a^2 - 7ab + 11b^2\)
So, the simplified expression is \(-10a^2 - 7ab + 11b^2\).