Class 9 Exam  >  Class 9 Questions  >  Factorise- 8a^3 + b^3 +12ba^2+6ab^2 Start Learning for Free
Factorise- 8a^3 + b^3 +12ba^2+6ab^2
Most Upvoted Answer
Factorise- 8a^3 + b^3 +12ba^2+6ab^2
Explanation:

The given expression is:

8a^3 b^3 + 12ba^2 + 6ab^2


Step 1: Common Factor

The first step is to look for a common factor that can be taken out from all the terms in the expression.

The common factor in this expression is 2ab, which can be taken out as follows:

2ab(4a^2 b^2 + 6a + 3b)


Step 2: Factorise

The expression inside the bracket can be factorised as follows:

2ab(2a^2b^2 + 3a + 3b)(2a^2b^2 - 2a + b)


Final Answer:

The fully factorised form of the expression 8a^3 b^3 + 12ba^2 + 6ab^2 is:

2ab(2a^2b^2 + 3a + 3b)(2a^2b^2 - 2a + b)
Community Answer
Factorise- 8a^3 + b^3 +12ba^2+6ab^2
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

Factorise- 8a^3 + b^3 +12ba^2+6ab^2
Question Description
Factorise- 8a^3 + b^3 +12ba^2+6ab^2 for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorise- 8a^3 + b^3 +12ba^2+6ab^2 covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise- 8a^3 + b^3 +12ba^2+6ab^2.
Solutions for Factorise- 8a^3 + b^3 +12ba^2+6ab^2 in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Factorise- 8a^3 + b^3 +12ba^2+6ab^2 defined & explained in the simplest way possible. Besides giving the explanation of Factorise- 8a^3 + b^3 +12ba^2+6ab^2, a detailed solution for Factorise- 8a^3 + b^3 +12ba^2+6ab^2 has been provided alongside types of Factorise- 8a^3 + b^3 +12ba^2+6ab^2 theory, EduRev gives you an ample number of questions to practice Factorise- 8a^3 + b^3 +12ba^2+6ab^2 tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev