[tex]\bold{[ \ Answer \ ]}[/tex]
[tex]\boxed{\bold{4x^3-6x^2+9}}[/tex]
[tex]\bold{[ \ Explanation \ ]}[/tex]
[tex]\bold{-----------------------}[/tex]
[tex]\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}[/tex]
[tex]\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}[/tex]
[tex]\bold{6x^3-2x^2+4-2x^3-4x^2+5}[/tex]
[tex]\bold{4x^3-6x^2+9}[/tex]
[tex]\boxed{\bold{[] \ Eclipsed \ []}}[/tex]