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2x^{2}-2x-x\left(3x+2\right)
Use the distributive property to multiply 2x by x-1.
2x^{2}-2x-\left(3x^{2}+2x\right)
Use the distributive property to multiply x by 3x+2.
2x^{2}-2x-3x^{2}-2x
To find the opposite of 3x^{2}+2x, find the opposite of each term.
-x^{2}-2x-2x
Combine 2x^{2} and -3x^{2} to get -x^{2}.
-x^{2}-4x
Combine -2x and -2x to get -4x.
2x^{2}-2x-x\left(3x+2\right)
Use the distributive property to multiply 2x by x-1.
2x^{2}-2x-\left(3x^{2}+2x\right)
Use the distributive property to multiply x by 3x+2.
2x^{2}-2x-3x^{2}-2x
To find the opposite of 3x^{2}+2x, find the opposite of each term.
-x^{2}-2x-2x
Combine 2x^{2} and -3x^{2} to get -x^{2}.
-x^{2}-4x
Combine -2x and -2x to get -4x.