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