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\left(2x^{2}+3x+1\right)\left(x^{2}+1\right)
Use the distributive property to multiply x+1 by 2x+1 and combine like terms.
2x^{4}+3x^{2}+3x^{3}+3x+1
Use the distributive property to multiply 2x^{2}+3x+1 by x^{2}+1 and combine like terms.
\left(2x^{2}+3x+1\right)\left(x^{2}+1\right)
Use the distributive property to multiply x+1 by 2x+1 and combine like terms.
2x^{4}+3x^{2}+3x^{3}+3x+1
Use the distributive property to multiply 2x^{2}+3x+1 by x^{2}+1 and combine like terms.