Evaluate
\frac{\left(25x+y\right)^{2}}{25}
Expand
2xy+\frac{y^{2}}{25}+25x^{2}
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25x^{2}+2xy+\frac{1}{25}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+\frac{1}{5}y\right)^{2}.
25x^{2}+2xy+\frac{1}{25}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+\frac{1}{5}y\right)^{2}.
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