Find the value of each of the following using the short-cut method:
(47)3
Let’s take, a = 4 and b = 7
So, by using the formula,
We have, a3 + 3a2b + 3ab2 + b3
16 4 | 16 × 21 | 49 × 12 | 49 × 7 |
64 +39 | 336 +62 | 588 +34 | 343 |
103 | 398 | 622 |
By taking the highlighted digits only,
We get;
؞(47)3 = 103823