- 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
Expand $(3x-y+z)^2$.
Given :
The given expression is $(3x-y+z)^2$.
To find :
We have to expand the given expression using the suitable identity.
Solution :
We know that,
$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$
On comparison,
$a=3x, b=-y, c=z$
Therefore,
$(3x-y+z)^2=(3x)^2+(-y)^2+(z)^2+2(3x)(-y)+2(-y)(z)+2(z)(3x)$
$=9x^2+y^2+z^2-6xy-2yz+6xz$.
The expansion of $(3x-y+z)^2$ is $9x^2+y^2+z^2-6xy-2yz+6xz$.
Advertisements