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

Answer

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Answer

Rewrite the expression as \( \frac{1}{2} f^{2}(f - 4) \)

Steps

Step 1 ：Factor out \( \frac{1}{2} f^{2} \) from the given expression

Step 2 ：Rewrite the expression as \( \frac{1}{2} f^{2}(f - 4) \)