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x^{2}+16-\left(9+6x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+x\right)^{2}.
x^{2}+16-9-6x-x^{2}
To find the opposite of 9+6x+x^{2}, find the opposite of each term.
x^{2}+7-6x-x^{2}
Subtract 9 from 16 to get 7.
7-6x
Combine x^{2} and -x^{2} to get 0.
x^{2}+16-\left(9+6x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+x\right)^{2}.
x^{2}+16-9-6x-x^{2}
To find the opposite of 9+6x+x^{2}, find the opposite of each term.
x^{2}+7-6x-x^{2}
Subtract 9 from 16 to get 7.
7-6x
Combine x^{2} and -x^{2} to get 0.