Evaluate
\frac{\left(27y+z\right)^{2}}{9}
Expand
6yz+\frac{z^{2}}{9}+81y^{2}
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81y^{2}+6yz+\frac{1}{9}z^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-9y-\frac{1}{3}z\right)^{2}.
81y^{2}+6yz+\frac{1}{9}z^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-9y-\frac{1}{3}z\right)^{2}.
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