Question: User: ubtract.
Your answer should be a polynomial in standard form.
\[(f^3-5f+25) -(4f^2-12f+9)=\]
1. **State the problem:**
We need to subtract the polynomial $$4f^2 - 12f + 9$$ from $$f^3 - 5f + 25$$.
2. **Write the expression:**
$$ (f^3 - 5f + 25) - (4f^2 - 12f + 9) $$
3. **Distribute the minus sign to the second polynomial:**
$$ f^3 - 5f + 25 - 4f^2 + 12f - 9 $$
4. **Group like terms:**
$$ f^3 - 4f^2 + (-5f + 12f) + (25 - 9) $$
5. **Simplify each group:**
$$ f^3 - 4f^2 + 7f + 16 $$
6. **Final answer:**
The polynomial in standard form is:
$$\boxed{f^3 - 4f^2 + 7f + 16}$$