- 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
Factorize:$125x^3 - 27y^3 - 225x^2y + 135xy^2$
Given:
$125x^3 - 27y^3 - 225x^2y + 135xy^2$
To do:
We have to factorize the given expression.
Solution:
We know that,
$(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$
$(a - b)^3 = a^3 - b^3 - 3ab(a - b)$
Therefore,
$125x^3 - 27y^3 - 225x^2y + 135xy^2 = (5x)^3 - (3y)^3 – 3 \times (5x)^2 \times (3y) + 3 \times 5x \times (3y)^2$
$= (5x - 3y)^3$
$= (5x - 3y) (5x - 3y) (5x - 3y)$
Hence, $125x^3 - 27y^3 - 225x^2y + 135xy^2 = (5x - 3y) (5x - 3y) (5x - 3y)$.
Advertisements
To Continue Learning Please Login
Login with Google