Factor
\frac{\left(-27x^{3}-8y\right)\left(27x^{3}-8y\right)}{324}
Evaluate
-\frac{9x^{6}}{4}+\frac{16y^{2}}{81}
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\frac{-729x^{6}+64y^{2}}{324}
Factor out \frac{1}{324}.
\left(8y-27x^{3}\right)\left(8y+27x^{3}\right)
Consider -729x^{6}+64y^{2}. Rewrite -729x^{6}+64y^{2} as \left(8y\right)^{2}-\left(27x^{3}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-27x^{3}+8y\right)\left(27x^{3}+8y\right)
Reorder the terms.
\frac{\left(-27x^{3}+8y\right)\left(27x^{3}+8y\right)}{324}
Rewrite the complete factored expression.
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