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64-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
64-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
63-x^{2}-2x
Subtract 1 from 64 to get 63.
64-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
64-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
63-x^{2}-2x
Subtract 1 from 64 to get 63.