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