83^3+17^3/83^2-83×17+17^2
Answers
Step-by-step explanation:
Simplify the following:
83^3 + 17^3/83^2 - 83×17 + 17^2
| | 8 | 3
× | | 8 | 3
| 2 | 4 | 9
6 | 6 | 4 | 0
6 | 8 | 8 | 9:
83^3 + 17^3/6889 - 83×17 + 17^2
17^3 = 17×17^2:
83^3 + (17×17^2)/6889 - 83×17 + 17^2
| 1 | 7
× | 1 | 7
1 | 1 | 9
1 | 7 | 0
2 | 8 | 9:
83^3 + (17×289)/6889 - 83×17 + 17^2
| 2 | 8 | 9
× | | 1 | 7
2 | 0 | 2 | 3
2 | 8 | 9 | 0
4 | 9 | 1 | 3:
83^3 + 4913/6889 - 83×17 + 17^2
83^3 = 83×83^2:
83×83^2 + 4913/6889 - 83×17 + 17^2
| | 8 | 3
× | | 8 | 3
| 2 | 4 | 9
6 | 6 | 4 | 0
6 | 8 | 8 | 9:
83×6889 + 4913/6889 - 83×17 + 17^2
| | 6 | 8 | 8 | 9
× | | | | 8 | 3
| 2 | 0 | 6 | 6 | 7
5 | 5 | 1 | 1 | 2 | 0
5 | 7 | 1 | 7 | 8 | 7:
571787 + 4913/6889 - 83×17 + 17^2
| | 8 | 3
× | | 1 | 7
| 5 | 8 | 1
| 8 | 3 | 0
1 | 4 | 1 | 1:
571787 + 4913/6889 + -1411 + 17^2
| 1 | 7
× | 1 | 7
1 | 1 | 9
1 | 7 | 0
2 | 8 | 9:
571787 + 4913/6889 - 1411 + 289
Put 571787 + 4913/6889 - 1411 + 289 over the common denominator 6889. 571787 + 4913/6889 - 1411 + 289 = (6889×571787)/6889 + 4913/6889 + (6889 (-1411))/6889 + (6889×289)/6889:
(6889×571787)/6889 + 4913/6889 + (6889 (-1411))/6889 + (6889×289)/6889
| | | | 5 | 7 | 1 | 7 | 8 | 7
× | | | | | | 6 | 8 | 8 | 9
| | | 5 | 1 | 4 | 6 | 0 | 8 | 3
| | 4 | 5 | 7 | 4 | 2 | 9 | 6 | 0
| 4 | 5 | 7 | 4 | 2 | 9 | 6 | 0 | 0
3 | 4 | 3 | 0 | 7 | 2 | 2 | 0 | 0 | 0
3 | 9 | 3 | 9 | 0 | 4 | 0 | 6 | 4 | 3:
3939040643/6889 + 4913/6889 + (6889 (-1411))/6889 + (6889×289)/6889
| | | 6 | 8 | 8 | 9
× | | | 1 | 4 | 1 | 1
| | | 6 | 8 | 8 | 9
| | 6 | 8 | 8 | 9 | 0
2 | 7 | 5 | 5 | 6 | 0 | 0
6 | 8 | 8 | 9 | 0 | 0 | 0
9 | 7 | 2 | 0 | 3 | 7 | 9:
3939040643/6889 + 4913/6889 + (-9720379)/6889 + (6889×289)/6889
| | | 6 | 8 | 8 | 9
× | | | | 2 | 8 | 9
| | 6 | 2 | 0 | 0 | 1
| 5 | 5 | 1 | 1 | 2 | 0
1 | 3 | 7 | 7 | 8 | 0 | 0
1 | 9 | 9 | 0 | 9 | 2 | 1:
3939040643/6889 + 4913/6889 - 9720379/6889 + 1990921/6889
3939040643/6889 + 4913/6889 - 9720379/6889 + 1990921/6889 = (3939040643 + 4913 - 9720379 + 1990921)/6889:
(3939040643 + 4913 - 9720379 + 1990921)/6889
| | | 1 | 1 | 1 | | 2 | | |
| 3 | 9 | 3 | 9 | 0 | 4 | 0 | 6 | 4 | 3
| | | | 1 | 9 | 9 | 0 | 9 | 2 | 1
+ | | | | | | | 4 | 9 | 1 | 3
| 3 | 9 | 4 | 1 | 0 | 3 | 6 | 4 | 7 | 7:
(3941036477 - 9720379)/6889
| | | | 10 | | | | | 16 |
| | | 3 | 0 | 10 | | | 3 | 6 | 17
| 3 | 9 | 4 | 1 | 0 | 3 | 6 | 4 | 7 | 7
- | | | | 9 | 7 | 2 | 0 | 3 | 7 | 9
| 3 | 9 | 3 | 1 | 3 | 1 | 6 | 0 | 9 | 8:
Answer:
3931316098/6889
Answer:
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