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1-\left(4y^{2}-12y+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2y-3\right)^{2}.
1-4y^{2}+12y-9
To find the opposite of 4y^{2}-12y+9, find the opposite of each term.
-8-4y^{2}+12y
Subtract 9 from 1 to get -8.
1-\left(4y^{2}-12y+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2y-3\right)^{2}.
1-4y^{2}+12y-9
To find the opposite of 4y^{2}-12y+9, find the opposite of each term.
-8-4y^{2}+12y
Subtract 9 from 1 to get -8.