Problem
Question \( 1-3 \) Determine an equivalent expression written as a common factor multiplied by the sum of two algebraic expressions. \[ \frac{1}{2} f^{3}-8 f^{2} \] \( \frac{1}{2} f^{2}(f-4) \) \( 2 f(f-4 f) \) \( \frac{1}{2}\left(f^{3}-4 f^{2}\right) \) \( \frac{1}{2}\left(f^{3}-8 f^{2}\right) \)
Solution
Step 1 ：Factor out \( \frac{1}{2} f^{2} \) from the given expression
Step 2 ：Rewrite the expression as \( \frac{1}{2} f^{2}(f - 4) \)
