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3\left(9x^{4}-16y^{2}\right)
Factor out 3.
\left(3x^{2}-4y\right)\left(3x^{2}+4y\right)
Consider 9x^{4}-16y^{2}. Rewrite 9x^{4}-16y^{2} as \left(3x^{2}\right)^{2}-\left(4y\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
3\left(3x^{2}-4y\right)\left(3x^{2}+4y\right)
Rewrite the complete factored expression.