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x^{5}-2x^{3}+x-x+1
Use the distributive property to multiply x^{3}-2x^{2}+x by x^{2}+2x+1 and combine like terms.
x^{5}-2x^{3}+1
Combine x and -x to get 0.
x^{5}-2x^{3}+x-x+1
Use the distributive property to multiply x^{3}-2x^{2}+x by x^{2}+2x+1 and combine like terms.
x^{5}-2x^{3}+1
Combine x and -x to get 0.