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1-6y+9y^{2}+2\left(3y-1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-3y\right)^{2}.
1-6y+9y^{2}+6y-2
Use the distributive property to multiply 2 by 3y-1.
1+9y^{2}-2
Combine -6y and 6y to get 0.
-1+9y^{2}
Subtract 2 from 1 to get -1.
1-6y+9y^{2}+2\left(3y-1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-3y\right)^{2}.
1-6y+9y^{2}+6y-2
Use the distributive property to multiply 2 by 3y-1.
1+9y^{2}-2
Combine -6y and 6y to get 0.
-1+9y^{2}
Subtract 2 from 1 to get -1.