Completely factored form of u^3-v^3 is:
![(u-v)(u^2+uv+v^2)](https://tex.z-dn.net/?f=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29)
Step-by-step explanation:
Algebraic formulas are used to factorize the expression.
Given
![u^3 - v^3](https://tex.z-dn.net/?f=u%5E3%20-%20v%5E3)
The formula involving cube with negative sign is:
![a^3-b^3 = (a-b)(a^2+ab+b^2)](https://tex.z-dn.net/?f=a%5E3-b%5E3%20%3D%20%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29)
Using this formula:
![u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)](https://tex.z-dn.net/?f=u%5E3-v%5E3%20%3D%20%28u%29%5E3%20-%20%28v%29%5E3%5C%5C%3D%20%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29)
Hence,
Completely factored form of u^3-v^3 is:
![(u-v)(u^2+uv+v^2)](https://tex.z-dn.net/?f=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29)
Keywords: Factorization
Learn more about factors at:
#LearnwithBrainly
Answer:
$ 2,050
Step-by-step explanation:
Earnings last year : x
0.4(x + 200) = 900
(x + 200) =900/0.4
x + 200 = 2250
x = 2250 - 200
x = $2,050
<span>The percentile score would most likely be 97.5, Hope this helps!! :D
</span>
Answer:
![-37\leq x\:](https://tex.z-dn.net/?f=-37%5Cleq%20x%5C%3A%3C19)
Step-by-step explanation:
To find the values of
for which, the value of
belongs to
,we solve the inequality;
![-2\:](https://tex.z-dn.net/?f=-2%5C%3A%3C%5Cfrac%7B3-x%7D%7B8%7D%5Cleq%205)
We multiply through by 8 to obtain;
![-16\:](https://tex.z-dn.net/?f=-16%5C%3A%3C3-x%5Cleq%2040)
We subtract 3 to get
![-19\:](https://tex.z-dn.net/?f=-19%5C%3A%3C-x%5Cleq%2037)
Divide through by -1 to obtain;
![19\:>x\ge-37](https://tex.z-dn.net/?f=19%5C%3A%3Ex%5Cge-37)
Or
![-37\leq x\:](https://tex.z-dn.net/?f=-37%5Cleq%20x%5C%3A%3C19)