=22,995
Simplify the following:
(1020 ((5-1)^3--4))/(3)-5^3
(1020 ((5-1)^3--4))/(3) = (1020 ((5-1)^3--4))/3:
(1020 ((5-1)^3--4))/3-5^3
3 | | 3 | 4 | 0
| 1 | 0 | 2 | 0
- | | 9 | |
| | 1 | 2 |
| - | 1 | 2 |
| | | | 0
| | | - | 0
| | | | 0:
340 ((5-1)^3--4)-5^3
5-1 = 4:
340 (4^3--4)-5^3
4^3 = 4×4^2:
340 (4×4^2--4)-5^3
4^2 = 16:
340 (4×16--4)-5^3
4×16 = 64:
340 (64--4)-5^3
-(-4) = 4:
340 (64+4)-5^3
64+4 = 68:
340×68-5^3
5^3 = 5×5^2:
340×68-5×5^2
5^2 = 25:
340×68-5×25
5×25 = 125:
340×68-125
| | 3 | 4 | 0
× | | | 6 | 8
| 2 | 7 | 2 | 0
2 | 0 | 4 | 0 | 0
2 | 3 | 1 | 2 | 0:
23120-125
| | | 10 | 11 |
| | 2 | 0 | 1 | 10
| 2 | 3 | 1 | 2 | 0
- | | | 1 | 2 | 5
| 2 | 2 | 9 | 9 | 5:
Answer: |
| 22995