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Factorise using suitable identity:- a³- 216/b³?
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Factorise using suitable identity:- a³- 216/b³?
**Factorization of a³ - 216/b³**
To factorize the given expression, a³ - 216/b³, we can use the identity (a³ - b³) = (a - b)(a² + ab + b²).
Let's substitute a³ as a³ = a * a * a, and b³ as b³ = b * b * b in the given expression:
a³ - 216/b³ = (a * a * a) - (216/(b * b * b))
**Applying the Identity**
Now, we can apply the identity (a³ - b³) = (a - b)(a² + ab + b²) to factorize the expression:
(a * a * a) - (216/(b * b * b)) = (a - 6/b)(a² + 6a/b + (6/b)²)
**Final Factorization**
Therefore, the factorization of a³ - 216/b³ is (a - 6/b)(a² + 6a/b + (6/b)²).
This is the simplified form of the expression using suitable identity.
To factorize the given expression, a³ - 216/b³, we can use the identity (a³ - b³) = (a - b)(a² + ab + b²).
Let's substitute a³ as a³ = a * a * a, and b³ as b³ = b * b * b in the given expression:
a³ - 216/b³ = (a * a * a) - (216/(b * b * b))
**Applying the Identity**
Now, we can apply the identity (a³ - b³) = (a - b)(a² + ab + b²) to factorize the expression:
(a * a * a) - (216/(b * b * b)) = (a - 6/b)(a² + 6a/b + (6/b)²)
**Final Factorization**
Therefore, the factorization of a³ - 216/b³ is (a - 6/b)(a² + 6a/b + (6/b)²).
This is the simplified form of the expression using suitable identity.
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Factorise using suitable identity:- a³- 216/b³?
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Factorise using suitable identity:- a³- 216/b³? 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 using suitable identity:- a³- 216/b³? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise using suitable identity:- a³- 216/b³?.
Factorise using suitable identity:- a³- 216/b³? 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 using suitable identity:- a³- 216/b³? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise using suitable identity:- a³- 216/b³?.
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