james80618 james80618
  • 13-07-2021
  • Mathematics
contestada

What is the factored form of x3 + 216?

What is the factored form of x3 216 class=

Respuesta :

emanshahzadi929
emanshahzadi929 emanshahzadi929
  • 13-07-2021

Answer:

[tex](x+6) (x^2-6x+36)[/tex]

Step-by-step explanation:

Use the identity  [tex]a^3+b^3[/tex] × [tex](a^2-ab+b^2)[/tex]  and the fact that [tex]216=6^3[/tex]

we have that,

[tex]x^3+6^3=(x+6)(x^2-6x+36)[/tex]

Answer Link
mathstudent55
mathstudent55 mathstudent55
  • 13-07-2021

Answer:

[tex]  B.  (x + 6)(x^2 - 6x + 36) [/tex]

Step-by-step explanation:

x^3 + 216

x^3 is the cube of x.

216 is the cube of 6.

This is the same as x^3 + 6^3 and follows the pattern

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

[tex] x^3 + 216 = (x + 6)(x^2 - 6x + 36) [/tex]

Answer Link

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