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Question

Find the value of each of the following using the short-cut method:
1.(25)3 2. (47)3 3. (68)3 4. (84)3


Solution

1. (25)3 = We know that short-cut method for finding the cube of any two digit number is as given. 
(a+b)3=a3+3a2b+3ab2+b3
= a2×a+a2×3b+b2×3a+b2×b 
Here a=2, b=5 


(25)3=15625
2. (47)3= Here a=4, b=7 


(47)3= 103823
3. (68)3 = Here a = 6, b=8


(68)3=314432
4. (84)3 = Here a = 8, b=4


(84)3=592704

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