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16-\left(9x^{2}-6x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
16-9x^{2}+6x-1
To find the opposite of 9x^{2}-6x+1, find the opposite of each term.
15-9x^{2}+6x
Subtract 1 from 16 to get 15.
16-\left(9x^{2}-6x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-1\right)^{2}.
16-9x^{2}+6x-1
To find the opposite of 9x^{2}-6x+1, find the opposite of each term.
15-9x^{2}+6x
Subtract 1 from 16 to get 15.