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\left(-x-1\right)\left(x-1\right)
To find the opposite of x+1, find the opposite of each term.
-x^{2}+x-x+1
Apply the distributive property by multiplying each term of -x-1 by each term of x-1.
-x^{2}+1
Combine x and -x to get 0.
\left(-x-1\right)\left(x-1\right)
To find the opposite of x+1, find the opposite of each term.
-x^{2}+x-x+1
Apply the distributive property by multiplying each term of -x-1 by each term of x-1.
-x^{2}+1
Combine x and -x to get 0.