![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
Factorize:
\( a^{2} x^{2}+\left(a x^{2}+1\right) x+a \)
Given :
\( a^{2} x^{2}+\left(a x^{2}+1\right) x+a \)
To do :
We have to factorize the given expression.
Solution :
$a^2x^2 + (ax^2 + 1)x + a = a^2x^2 + a + (ax^2 + 1)x$
$= a(ax^2 + 1) + x(ax^2 + 1)$
$= (ax^2 + 1) (a + x)$
$= (x + a) (ax^2 + 1)$
Hence, $a^2x^2 + (ax^2 + 1)x + a = (x + a) (ax^2 + 1)$.
Advertisements