shashi207475
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  • 29-08-2021
  • Mathematics
contestada

Factorise a.x3+4.a.x​

Respuesta :

Аноним Аноним
  • 29-08-2021

Answer:

[tex] {ax}^{3} + 4ax \\ [/tex]

factorise out a and x :

[tex] { \boxed{answer{= ax( {x}^{2} + 4) }}}\\ but \: farther \: more : \\ = ax( {x}^{2} + {2}^{2} )[/tex]

but from general factorization:

[tex]{ \boxed{( {a}^{2} + {b}^{2}) = {(a + b)}^{2} - 2ab }}[/tex]

a » x

b » 2

therefore:

[tex] = ax \{ {(x + 2)}^{2} - 2(x)(2) \} \\ \\ = { \boxed{ \boxed{ax( {x + 2)}^{2} - 4x }}}[/tex]

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