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-6x^{3}+6x-x^{2}+1-\left(-3x^{2}-x+3\right)\times 2x
Use the distributive property to multiply -6x-1 by x^{2}-1.
-6x^{3}+6x-x^{2}+1-\left(-6x^{2}-2x+6\right)x
Use the distributive property to multiply -3x^{2}-x+3 by 2.
-6x^{3}+6x-x^{2}+1-\left(-6x^{3}-2x^{2}+6x\right)
Use the distributive property to multiply -6x^{2}-2x+6 by x.
-6x^{3}+6x-x^{2}+1+6x^{3}+2x^{2}-6x
To find the opposite of -6x^{3}-2x^{2}+6x, find the opposite of each term.
6x-x^{2}+1+2x^{2}-6x
Combine -6x^{3} and 6x^{3} to get 0.
6x+x^{2}+1-6x
Combine -x^{2} and 2x^{2} to get x^{2}.
x^{2}+1
Combine 6x and -6x to get 0.
-6x^{3}+6x-x^{2}+1-\left(-3x^{2}-x+3\right)\times 2x
Use the distributive property to multiply -6x-1 by x^{2}-1.
-6x^{3}+6x-x^{2}+1-\left(-6x^{2}-2x+6\right)x
Use the distributive property to multiply -3x^{2}-x+3 by 2.
-6x^{3}+6x-x^{2}+1-\left(-6x^{3}-2x^{2}+6x\right)
Use the distributive property to multiply -6x^{2}-2x+6 by x.
-6x^{3}+6x-x^{2}+1+6x^{3}+2x^{2}-6x
To find the opposite of -6x^{3}-2x^{2}+6x, find the opposite of each term.
6x-x^{2}+1+2x^{2}-6x
Combine -6x^{3} and 6x^{3} to get 0.
6x+x^{2}+1-6x
Combine -x^{2} and 2x^{2} to get x^{2}.
x^{2}+1
Combine 6x and -6x to get 0.