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