![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Evaluate each of the following:$(9.9)^3$
Given:
$(9.9)^3$
To do:
We have to evaluate $(9.9)^3$.
Solution:
We know that,
$(a+b)^3=a^3 + b^3 + 3ab(a+b)$
$(a-b)^3= a^3-b^3-3ab(a-b)$
Therefore,
$(9.9)^3 = (10 - 0.1)^3$
$= (10)^3 - (0.1)^3 - 3 \times 10 \times 0.1(10 - 0.1)$
$= 1000 - 0.001 - 3 \times 9.9$
$= 1000 - 0.001 - 29.7$
$= 1000 - 29.701$
$= 970.299$
Hence, $(9.9)^3 = 970.299$.
Advertisements