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\left(\frac{1}{9}x^{2}-2x+9\right)\times 18
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-\frac{1}{3}x+3\right)^{2}.
2x^{2}-36x+162
Use the distributive property to multiply \frac{1}{9}x^{2}-2x+9 by 18.
\left(\frac{1}{9}x^{2}-2x+9\right)\times 18
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-\frac{1}{3}x+3\right)^{2}.
2x^{2}-36x+162
Use the distributive property to multiply \frac{1}{9}x^{2}-2x+9 by 18.