Evaluate
-\left(x-1\right)^{2}+3
Expand
2+2x-x^{2}
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3-\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}.
3-x^{2}+2x-1
To find the opposite of x^{2}-2x+1, find the opposite of each term.
2-x^{2}+2x
Subtract 1 from 3 to get 2.
3-\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}.
3-x^{2}+2x-1
To find the opposite of x^{2}-2x+1, find the opposite of each term.
2-x^{2}+2x
Subtract 1 from 3 to get 2.
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Limits
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