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3\left(4y^{2}-x^{2}\right)
Factor out 3.
\left(2y-x\right)\left(2y+x\right)
Consider 4y^{2}-x^{2}. Rewrite 4y^{2}-x^{2} as \left(2y\right)^{2}-x^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-x+2y\right)\left(x+2y\right)
Reorder the terms.
3\left(-x+2y\right)\left(x+2y\right)
Rewrite the complete factored expression.