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\left(y-\frac{1}{3}\right)^{2}
Multiply y-\frac{1}{3} and y-\frac{1}{3} to get \left(y-\frac{1}{3}\right)^{2}.
y^{2}-\frac{2}{3}y+\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-\frac{1}{3}\right)^{2}.
\left(y-\frac{1}{3}\right)^{2}
Multiply y-\frac{1}{3} and y-\frac{1}{3} to get \left(y-\frac{1}{3}\right)^{2}.
y^{2}-\frac{2}{3}y+\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-\frac{1}{3}\right)^{2}.