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5\left(p^{3}-25p\right)
Factor out 5.
p\left(p^{2}-25\right)
Consider p^{3}-25p. Factor out p.
\left(p-5\right)\left(p+5\right)
Consider p^{2}-25. Rewrite p^{2}-25 as p^{2}-5^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
5p\left(p-5\right)\left(p+5\right)
Rewrite the complete factored expression.