wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

Question 7
Evaluate the following using suitable identities:
(i) (99)3
(ii) (102)3
(iii) (998)3

Open in App
Solution

(i) (99)3 [Using identity (ab)3=a3b33ab(ab)](1001)3=(100)3+(1)3+3(100)(1)(1001)=10000001300(1001)=1000000130000+300=970299

(ii) (102)3 [Using identity (a+b)3=a3+b3+3ab(a+b)](100+2)3=(100)3+23+3(100)(2)(100+2)=1000000+8+600(100+2)=1000000+8+60000+1200=1061208

(iii) (998)3 [Using identity (ab)3=a3b33ab(ab)](10002)3=(1000)3+(2)3+3(1000)(2)(998)=(1000)386000(998)=100000000085988000=994011992

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon