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-5x-\left(x^{2}+2x\right)\left(x-4\right)
Use the distributive property to multiply x by x+2.
-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)
Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-4.
-5x-\left(x^{3}-2x^{2}-8x\right)
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)
To find the opposite of x^{3}-2x^{2}-8x, find the opposite of each term.
-5x-x^{3}+2x^{2}-\left(-8x\right)
The opposite of -2x^{2} is 2x^{2}.
-5x-x^{3}+2x^{2}+8x
The opposite of -8x is 8x.
3x-x^{3}+2x^{2}
Combine -5x and 8x to get 3x.
-5x-\left(x^{2}+2x\right)\left(x-4\right)
Use the distributive property to multiply x by x+2.
-5x-\left(x^{3}-4x^{2}+2x^{2}-8x\right)
Apply the distributive property by multiplying each term of x^{2}+2x by each term of x-4.
-5x-\left(x^{3}-2x^{2}-8x\right)
Combine -4x^{2} and 2x^{2} to get -2x^{2}.
-5x-x^{3}-\left(-2x^{2}\right)-\left(-8x\right)
To find the opposite of x^{3}-2x^{2}-8x, find the opposite of each term.
-5x-x^{3}+2x^{2}-\left(-8x\right)
The opposite of -2x^{2} is 2x^{2}.
-5x-x^{3}+2x^{2}+8x
The opposite of -8x is 8x.
3x-x^{3}+2x^{2}
Combine -5x and 8x to get 3x.