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r^{2}-\frac{100}{3}r+\frac{2500}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(r-\frac{50}{3}\right)^{2}.
r^{2}-\frac{100}{3}r+\frac{2500}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(r-\frac{50}{3}\right)^{2}.