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x^{4}\left(25x^{2}-121\right)
Factor out x^{4}.
\left(5x-11\right)\left(5x+11\right)
Consider 25x^{2}-121. Rewrite 25x^{2}-121 as \left(5x\right)^{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).
x^{4}\left(5x-11\right)\left(5x+11\right)
Rewrite the complete factored expression.