Answer:
![x^2-2x+4](https://tex.z-dn.net/?f=x%5E2-2x%2B4)
Step-by-step explanation:
The given expression is
![\frac{x^3+8}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%2B8%7D%7Bx%2B2%7D)
Recall and use the following property to factor the numerator;
![a^3+b^3=(a+b)(a^2-ab+b^2)](https://tex.z-dn.net/?f=a%5E3%2Bb%5E3%3D%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29)
![\frac{x^3+2^3}{x+2}=\frac{(x+2)(x^2-2x+2^2)}{(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%2B2%5E3%7D%7Bx%2B2%7D%3D%5Cfrac%7B%28x%2B2%29%28x%5E2-2x%2B2%5E2%29%7D%7B%28x%2B2%29%7D)
This will give us;
![\frac{x^3+2^3}{x+2}=\frac{(x+2)(x^2-2x+4)}{(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%2B2%5E3%7D%7Bx%2B2%7D%3D%5Cfrac%7B%28x%2B2%29%28x%5E2-2x%2B4%29%7D%7B%28x%2B2%29%7D)
Simplify;
![\frac{x^3+2^3}{x+2}=x^2-2x+4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%2B2%5E3%7D%7Bx%2B2%7D%3Dx%5E2-2x%2B4)
Answer:
Averages don't tell the whole story..
Step-by-step explanation:
Averages do not tell the full story of an event. Since there are not one, not two, but three types of averages, namely; Mean, Mode, and Median, this means there is a 100/3 = 33.3 percent chance of someone guessing which of the averages was used.
This can be misleading.
The expression that represents the phrase. B.) 42 - 12
Answer:
The headphones are now $40.60.
Answer: option a. 360 °.
Explanation:
The exterior angles of simple polygons add up 360°.
That is so because <span>making the route of the exterior angles one by one takes you to make a complete revolution (turn), which as we know is 360 °.
You can see that if you draw any polygon and mark its exterior angles and translate all the segments (keeping the angles) to a common vertex. There you will see the angles cover all the circle, so the sum of the angles is 360°.
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