Answer:
To simplify the expression \(4.5d - 6d^3 + 3d^2 - (10d^3 - 7d - 2.5)\), let's first distribute the negative sign inside the parentheses:
\[4.5d - 6d^3 + 3d^2 - 10d^3 + 7d + 2.5\]
Now, let's combine like terms:
\[-6d^3 - 10d^3 + 3d^2 + 4.5d + 7d + 2.5\]
Combine the terms with the same exponent of \(d\):
\[-16d^3 + 3d^2 + (4.5d + 7d) + 2.5\]
\[-16d^3 + 3d^2 + 11.5d + 2.5\]
So, the simplified expression is \(-16d^3 + 3d^2 + 11.5d + 2.5\).
