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3\left(x^{2}-6x+9\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
3x^{2}-18x+27+5
Use the distributive property to multiply 3 by x^{2}-6x+9.
3x^{2}-18x+32
Add 27 and 5 to get 32.
3\left(x^{2}-6x+9\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
3x^{2}-18x+27+5
Use the distributive property to multiply 3 by x^{2}-6x+9.
3x^{2}-18x+32
Add 27 and 5 to get 32.