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