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5\left(r^{3}-49r\right)
Factor out 5.
r\left(r^{2}-49\right)
Consider r^{3}-49r. Factor out r.
\left(r-7\right)\left(r+7\right)
Consider r^{2}-49. Rewrite r^{2}-49 as r^{2}-7^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
5r\left(r-7\right)\left(r+7\right)
Rewrite the complete factored expression.