Factor
3\left(w^{2}+1\right)^{2}
Evaluate
3\left(w^{2}+1\right)^{2}
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3\left(w^{4}+2w^{2}+1\right)
Factor out 3.
\left(w^{2}+1\right)^{2}
Consider w^{4}+2w^{2}+1. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=w^{2} and b=1.
3\left(w^{2}+1\right)^{2}
Rewrite the complete factored expression. Polynomial w^{2}+1 is not factored since it does not have any rational roots.
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