Respuesta :

[tex]\bold{[ \ Answer \ ]}[/tex]

[tex]\boxed{\bold{4x^3-6x^2+9}}[/tex]

[tex]\bold{[ \ Explanation \ ]}[/tex]

  • [tex]\bold{Find \ Difference: \ \left(6x^3\:-\:2x^2\:+\:4\right)-\left(2x^3\:+\:4x^2\:-\:5\right)}[/tex]

[tex]\bold{-----------------------}[/tex]

  • [tex]\bold{Remove \ Parenthesis}[/tex]

[tex]\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}[/tex]

  • [tex]\bold{Remove \ Parenthesis \ / \ Simplify}[/tex]

[tex]\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}[/tex]

  • [tex]\bold{Rewrite}[/tex]

[tex]\bold{6x^3-2x^2+4-2x^3-4x^2+5}[/tex]

  • [tex]\bold{[Simplify \ 6x^3-2x^2+4-2x^3-4x^2+5] \ 4x^3-6x^2+9}[/tex]

[tex]\bold{4x^3-6x^2+9}[/tex]

[tex]\boxed{\bold{[] \ Eclipsed \ []}}[/tex]