Find the value of each of the following using the short-cut method: (25) 3

Find the value of each of the following using the short-cut method:
(25)³

Let’s take, a = 2 and b = 5

So, by using the formula,

We have a³+3a²b+3ab²+b³

4

× 2

4

× 15

25

× 6

25

× 5

8

+7

60

+16

150

+12

125

15

76

162

Keep the digits

By taking the highlighted digits only,

We get;

؞ (25)³ = 15625

1