Factor
3\left(5n^{2}-2\right)^{2}
Evaluate
3\left(5n^{2}-2\right)^{2}
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3\left(25n^{4}-20n^{2}+4\right)
Factor out 3.
\left(5n^{2}-2\right)^{2}
Consider 25n^{4}-20n^{2}+4. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=5n^{2} and b=2.
3\left(5n^{2}-2\right)^{2}
Rewrite the complete factored expression. Polynomial 5n^{2}-2 is not factored since it does not have any rational roots.
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