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