Respuesta :

Step-by-step explanation:

[tex] \tt{(x + 4)( {x}^{2} + x - 2) }[/tex]

⟶ [tex] \tt{x( {x}^{2} + x - 2) + 4( {x}^{2} + x - 2)}[/tex]

⟶ [tex] \tt{ {x}^{3} + {x}^{2} - 2x + 4 {x}^{2} + 4x - 8}[/tex]

⟶ [tex] \tt{ {x}^{3} + {x}^{2} + 4 {x}^{2} - 2x + 4x - 8}[/tex]

⟶ [tex] \tt{ {x}^{3} + 5 {x}^{2} + 2x - 8}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{ {x}^{ 3} + 5 {x}^{2} + 2x - 8}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer : x³ + 5x² + 2x - 8

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Known

(x +4) (x² + x - 2)

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Question

standard form (ax³ + bx² + cx + d)

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Way to do

#look pic for more details to understand, in my country his method name is crab claws

(x + 4) (x² + x - 2) =

x³ + x² - 2x + 4x² + 4x - 8 =

+ 5x² + 2x - 8

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Ver imagen Khasandra