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Add x^3 - 4x^2 + 1 to 3x^2 + x
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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

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[tex] \qquad \sf  \dashrightarrow \: (x {}^{3} - 4x {}^{2} + 1) + (3 {x}^{2} + x)[/tex]

[tex] \qquad \sf  \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 1 + 3 {x}^{2} + x[/tex]

[tex] \qquad \sf  \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 3x {}^{2} + x + 1[/tex]

[tex] \qquad \sf  \dashrightarrow \: {x}^{3} - {x}^{2} + x + 1[/tex]