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\frac{16y^{2}-200y+625}{100}
Factor out \frac{1}{100}.
\left(4y-25\right)^{2}
Consider 16y^{2}-200y+625. Use the perfect square formula, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, where a=4y and b=25.
\frac{\left(4y-25\right)^{2}}{100}
Rewrite the complete factored expression.