desireeharue desireeharue
  • 18-04-2017
  • Mathematics
contestada

How do you simplify this?

How do you simplify this class=

Respuesta :

Sxerks Sxerks
  • 18-04-2017
Notice how the top is an addition of two cubes, namely x and 2.

You can rewrite the equation as:

[tex]\frac{x^{3} + 2^{3}}{x + 2}[/tex]

Now, (a + b)³ can be simplified down to (a + b)(a² - ab + b²)
Following the same pattern, we get:

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