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18x^{2}-12x+10
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18x^{2}-12x+10
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9x^{2}+6x+1+\left(3x-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
9x^{2}+6x+1+9x^{2}-18x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-3\right)^{2}.
18x^{2}+6x+1-18x+9
Combine 9x^{2} and 9x^{2} to get 18x^{2}.
18x^{2}-12x+1+9
Combine 6x and -18x to get -12x.
18x^{2}-12x+10
Add 1 and 9 to get 10.
9x^{2}+6x+1+\left(3x-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+1\right)^{2}.
9x^{2}+6x+1+9x^{2}-18x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-3\right)^{2}.
18x^{2}+6x+1-18x+9
Combine 9x^{2} and 9x^{2} to get 18x^{2}.
18x^{2}-12x+1+9
Combine 6x and -18x to get -12x.
18x^{2}-12x+10
Add 1 and 9 to get 10.
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