Factor
\left(2w-5\right)\left(2w+5\right)\left(4w^{2}+25\right)
Evaluate
16w^{4}-625
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\left(4w^{2}-25\right)\left(4w^{2}+25\right)
Rewrite 16w^{4}-625 as \left(4w^{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(2w-5\right)\left(2w+5\right)
Consider 4w^{2}-25. Rewrite 4w^{2}-25 as \left(2w\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(2w-5\right)\left(2w+5\right)\left(4w^{2}+25\right)
Rewrite the complete factored expression. Polynomial 4w^{2}+25 is not factored since it does not have any rational roots.
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Limits
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