Respuesta :

       ➣ Assignment: [tex]\bold{Factor \ Equation: \ 8x^3-6x^2-12x+9}[/tex]

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       ➣ Answer: [tex]\boxed{\bold{\left(4x-3\right)\left(2x^2-3\right)}}[/tex]

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Explanation: ↓↓↓↓↓

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       ➤ [ Step One ] Factor Out -3 From [tex]\bold{-12x+9}[/tex]

[tex]\bold{-3\left(4x-3\right)}[/tex]

       ➤ [ Step Two ] Factor Out [tex]\bold{2x^2}[/tex] From [tex]\bold{8x^3-6x^2}[/tex]

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

       ➤ [ Step Three ] Rewrite Equation

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

       ➤ [ Step Four ] Factor Out Common Term [tex]\bold{4x-3}[/tex]

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

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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]

the answer is (4x-3) (2x^2-3)

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