Factor
\left(7x-5\right)\left(7x+5\right)\left(49x^{2}+25\right)
Evaluate
2401x^{4}-625
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\left(49x^{2}-25\right)\left(49x^{2}+25\right)
Rewrite 2401x^{4}-625 as \left(49x^{2}\right)^{2}-25^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(7x-5\right)\left(7x+5\right)
Consider 49x^{2}-25. Rewrite 49x^{2}-25 as \left(7x\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).
\left(7x-5\right)\left(7x+5\right)\left(49x^{2}+25\right)
Rewrite the complete factored expression. Polynomial 49x^{2}+25 is not factored since it does not have any rational roots.
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