Respuesta :

ANSWER:

[tex]-4x^3+4x^2-4x+2[/tex]

STEP-BY-STEP EXPLANATION:

We have the following expression:

[tex](4x^3+6x^2-9x+1)-(8x^3+2x^2-5x-1)[/tex]

In order to operate, we must first break the parentheses and then group similar terms, like this:

[tex]\begin{gathered} 4x^3+6x^2-9x+1-8x^3-2x^2+5x+1 \\ (4x^3-8x^3)+(6x^2-2x^2)+(-9x+5x)+(1+1) \\ \text{ therefore:} \\ -4x^3+4x^2-4x+2 \\ (4x^3+6x^2-9x+1)-(8x^3+2x^2-5x-1)=-4x^3+4x^2-4x+2 \end{gathered}[/tex]

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