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\left(x^{4}-6x^{3}+10x^{2}-6x+1\right)\left(x^{3}-2x+3\right)
Use the distributive property to multiply x^{2}-2x+1 by x^{2}-4x+1 and combine like terms.
x^{7}+8x^{5}+9x^{4}-6x^{6}-37x^{3}+42x^{2}-20x+3
Use the distributive property to multiply x^{4}-6x^{3}+10x^{2}-6x+1 by x^{3}-2x+3 and combine like terms.
\left(x^{4}-6x^{3}+10x^{2}-6x+1\right)\left(x^{3}-2x+3\right)
Use the distributive property to multiply x^{2}-2x+1 by x^{2}-4x+1 and combine like terms.
x^{7}+8x^{5}+9x^{4}-6x^{6}-37x^{3}+42x^{2}-20x+3
Use the distributive property to multiply x^{4}-6x^{3}+10x^{2}-6x+1 by x^{3}-2x+3 and combine like terms.