Factor
\left(t-11\right)\left(t+11\right)\left(t^{2}+121\right)
Evaluate
t^{4}-14641
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\left(t^{2}-121\right)\left(t^{2}+121\right)
Rewrite t^{4}-14641 as \left(t^{2}\right)^{2}-121^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(t-11\right)\left(t+11\right)
Consider t^{2}-121. Rewrite t^{2}-121 as t^{2}-11^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(t-11\right)\left(t+11\right)\left(t^{2}+121\right)
Rewrite the complete factored expression. Polynomial t^{2}+121 is not factored since it does not have any rational roots.
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