Class 9 Exam  >  Class 9 Questions  >  Factorize: 125a3– 27b3– 225a2b + ... Start Learning for Free
Factorize: 125a3 – 27b3 – 225a2b + 135ab2.​
  • a)
    (3a – 5b) (5a – 3b) (3a + 5b)2
  • b)
    (3a – 5b) (3a – 5b) (3a – 5b)
  • c)
    (5a – 3b) (5a – 3b) (5a – 3b)
  • d)
    (5a + 3b) (5a – 3b) (5a + 9b)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) ...
To factorize 125a^3, we can rewrite it as (5a)^3.

Using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2), we have:

(5a)^3 = (5a - _) ( (5a)^2 + (5a)(_) + _^2)

In this case, we can see that a = 5a, so we have:

(5a)^3 = (5a - 5a) ( (5a)^2 + (5a)(5a) + (5a)^2)

Simplifying further, we get:

(5a)^3 = 0 (25a^2 + 25a^2 + 25a^2)

Therefore, the factorization of 125a^3 is 0 times (25a^2 + 25a^2 + 25a^2), or simply 0.
Free Test
Community Answer
Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) ...
Use formula...
(a+b)^3=. a^3 +b^3 +3ab(a+b)
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

Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer?
Question Description
Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? 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 Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer?.
Solutions for Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? 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 Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Factorize: 125a3– 27b3– 225a2b + 135ab2.a)(3a – 5b) (5a – 3b) (3a + 5b)2b)(3a – 5b) (3a – 5b) (3a – 5b)c)(5a – 3b) (5a – 3b) (5a – 3b)d)(5a + 3b) (5a – 3b) (5a + 9b)Correct answer is option 'C'. Can you explain this answer? 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