nakbari247
nakbari247 nakbari247
  • 12-07-2020
  • Mathematics
contestada

factor by using the difference of two cubes
(2x)³- 8 ​

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 12-07-2020

Answer:

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

Solution,

[tex] {(2x)}^{3} - 8 \\ [/tex]

[tex]( {2x)}^{3} - {(2)}^{3} [/tex]

Use the formula:

[tex] {a}^{3} - {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

now,

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

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

Hope this helps...

Good luck on your assignment...

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