Evaluate
\frac{\left(x-y\right)^{2}}{5}
Expand
\frac{x^{2}-2xy+y^{2}}{5}
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\left(x^{2}-2xy+y^{2}\right)\times \frac{1}{5}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
\frac{1}{5}x^{2}-\frac{2}{5}xy+\frac{1}{5}y^{2}
Use the distributive property to multiply x^{2}-2xy+y^{2} by \frac{1}{5}.
\left(x^{2}-2xy+y^{2}\right)\times \frac{1}{5}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
\frac{1}{5}x^{2}-\frac{2}{5}xy+\frac{1}{5}y^{2}
Use the distributive property to multiply x^{2}-2xy+y^{2} by \frac{1}{5}.
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