Answer:
![x^6+3x^3+3+\dfrac{1}{x^3}](https://tex.z-dn.net/?f=x%5E6%2B3x%5E3%2B3%2B%5Cdfrac%7B1%7D%7Bx%5E3%7D)
Step-by-step explanation:
We can use the pascal triangle to find the coefficients of the expasion of the cube. It holds that
![(x^2 + \dfrac{1}{x})^3=(x^2)^3+3(x^2)^2\dfrac{1}{x}+3x^2(\dfrac{1}{x})^2+(\dfrac{1}{x})^3\\\\=x^6+3x^4\dfrac{1}{x}+3x^2\dfrac{1}{x^2}+\dfrac{1}{x^3}\\\\=x^6+3x^3+3+\dfrac{1}{x^3}](https://tex.z-dn.net/?f=%28x%5E2%20%2B%20%5Cdfrac%7B1%7D%7Bx%7D%29%5E3%3D%28x%5E2%29%5E3%2B3%28x%5E2%29%5E2%5Cdfrac%7B1%7D%7Bx%7D%2B3x%5E2%28%5Cdfrac%7B1%7D%7Bx%7D%29%5E2%2B%28%5Cdfrac%7B1%7D%7Bx%7D%29%5E3%5C%5C%5C%5C%3Dx%5E6%2B3x%5E4%5Cdfrac%7B1%7D%7Bx%7D%2B3x%5E2%5Cdfrac%7B1%7D%7Bx%5E2%7D%2B%5Cdfrac%7B1%7D%7Bx%5E3%7D%5C%5C%5C%5C%3Dx%5E6%2B3x%5E3%2B3%2B%5Cdfrac%7B1%7D%7Bx%5E3%7D)
Answer:
There is no picture.
Step-by-step explanation:
Sin230=sin(180+50)=sin180cos50+cos180sin50=-sin50 answer 1
Step-by-step explanation:
<h2>Answer:-</h2>
![\tt{Let \ the \ candies \ taken \ by \ Fred \ be \ x.}](https://tex.z-dn.net/?f=%5Ctt%7BLet%20%5C%20the%20%5C%20candies%20%5C%20taken%20%5C%20by%20%5C%20Fred%20%5C%20be%20%5C%20x.%7D)
Now, let's Solve!
So, according to Question,
Bill = 2x
Tim = 3x-3
Total Candies = 177.
![\bf{x+2x+3x-3=177}](https://tex.z-dn.net/?f=%5Cbf%7Bx%2B2x%2B3x-3%3D177%7D)
Totalling x,
![\bf{6x-3=177}](https://tex.z-dn.net/?f=%5Cbf%7B6x-3%3D177%7D)
![\bf{6x=177+3}](https://tex.z-dn.net/?f=%5Cbf%7B6x%3D177%2B3%7D)
![\bf{6x = 180}](https://tex.z-dn.net/?f=%5Cbf%7B6x%20%3D%20180%7D)
![\boxed{\sf{x = 30}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%7Bx%20%3D%2030%7D%7D)
So, Fred has 30 candies.
Bill's Candies = 2×30 = 60 Candies
Tim's Candies = 3×30-3 = 90-3 = 87 Candies.
Hope it helps :)
Can you be more specific pls