Find the product.
\[
\frac{5}{2} p\left(2-7 p+5 p^{3}\right)
\]

The product is $\square$.
(Simplify your answer.)

Answer

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Answer

Final Answer: The product is $ \boxed{12.5p^{4} - 17.5p^{2} + 5.0p} $.

Steps

Step 1 ：Define the variable p.

Step 2 ：Define the expression as $ \frac{5}{2} p\left(2-7 p+5 p^{3}\right) $.

Step 3 ：Simplify the expression using algebraic operations.

Step 4 ：The simplified expression is $ p\left(12.5 p^{3} - 17.5 p + 5.0\right) $.

Step 5 ：Final Answer: The product is $ \boxed{12.5p^{4} - 17.5p^{2} + 5.0p} $.