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6\left(4x^{3}-25x\right)
Factor out 6.
x\left(4x^{2}-25\right)
Consider 4x^{3}-25x. Factor out x.
\left(2x-5\right)\left(2x+5\right)
Consider 4x^{2}-25. Rewrite 4x^{2}-25 as \left(2x\right)^{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).
6x\left(2x-5\right)\left(2x+5\right)
Rewrite the complete factored expression.