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3\left(x^{3}-49x\right)
Factor out 3.
x\left(x^{2}-49\right)
Consider x^{3}-49x. Factor out x.
\left(x-7\right)\left(x+7\right)
Consider x^{2}-49. Rewrite x^{2}-49 as x^{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).
3x\left(x-7\right)\left(x+7\right)
Rewrite the complete factored expression.