Respuesta :
Answer:
(x - 2)(x² + 2x + 4)
Step-by-step explanation:
A difference of cubes factors in general as
• a³ - b³ = (a - b)(a² + ab + b² )
note 8 = 2³ = 8 ⇒ b = 2 , with a = x
Hence
x³ - 8
= x³ - 2³
= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)
Answer: The rewritten expression would be [tex](x-2)(x^2+2x+4)[/tex]
Step-by-step explanation:
Since we have given that
[tex]x^3-8[/tex]
We need to use the difference of cubes:
As we know the formula of "Difference of cubes":
[tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]
So, it can be written as
[tex](x)^3-(2)^3=(x-2)(x^2+2x+4)[/tex]
Hence, the rewritten expression would be [tex](x-2)(x^2+2x+4)[/tex]
