1. **State the problem:** Simplify the expression $ (f \cdot g^2) + 5 - (g^2 \cdot f) $ to an equivalent expression with only one term. 2. **Identify like terms:** Notice that $ f \cdot g^2 $ and $ g^2 \cdot f $ are the same because multiplication is commutative. 3. **Rewrite the expression:** $$ (f \cdot g^2) + 5 - (g^2 \cdot f) = (f \cdot g^2) - (f \cdot g^2) + 5 $$ 4. **Simplify the like terms:** $$ \cancel{(f \cdot g^2)} - \cancel{(f \cdot g^2)} + 5 = 0 + 5 = 5 $$ 5. **Final answer:** The expression simplifies to $5$ which is a single term.