Factor
\frac{\left(9xy^{2}+4zx^{2}-6\right)^{2}}{36}
Evaluate
\frac{\left(9xy^{2}+4zx^{2}-6\right)^{2}}{36}
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\frac{16x^{4}z^{2}+81x^{2}y^{4}+36+72x^{3}y^{2}z-48x^{2}z-108xy^{2}}{36}
Factor out \frac{1}{36}.
\left(9xy^{2}+4zx^{2}-6\right)^{2}
Consider 16x^{4}z^{2}+81x^{2}y^{4}+36+72x^{3}y^{2}z-48x^{2}z-108xy^{2}. Use the perfect square formula, a^{2}+b^{2}+c^{2}+2ab+2ac+2bc=\left(a+b+c\right)^{2}, where a=9xy^{2}, b=4zx^{2} and c=-6.
\frac{\left(9xy^{2}+4zx^{2}-6\right)^{2}}{36}
Rewrite the complete factored expression.
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