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Class 9MathematicsExploring Algebraic IdentitiesFactorisationMediumLevel 70
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Which is the correct factorisation of (125x^3-216y^3)?

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Answer and explanation

Correct answer: ( (5x-6y)(25x^2+30xy+36y^2) )

Here (125x^3=(5x)^3) and (216y^3=(6y)^3). Exam tip: in difference of cubes, signs in the second bracket are (+) and (+).

Related tags

Difference Of CubesFactorisationIdentity

Frequently asked questions

What is the correct answer to this question?

( (5x-6y)(25x^2+30xy+36y^2) )

Why is this the correct answer?

Here (125x^3=(5x)^3) and (216y^3=(6y)^3). Exam tip: in difference of cubes, signs in the second bracket are (+) and (+).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.

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  1. 1What is the greatest common factor while factorising (6x+9)?
  2. 2Which is the correct factorisation of (4a+8)?
  3. 3Which common factor will be taken out from (xy+xz)?
  4. 4Choose the correct factorisation of (5m-15).
  5. 5In which of the following expressions is \(3m\) a common factor of every term?
  6. 6Which of the following expressions is a difference of two squares and can be factorised using the identity?
  7. 7Which identity is used to factorise (x^2-9)?
  8. 8Which is the correct factorisation of (x^2-16)?
  9. 9What is the factorisation of (a^2+2ab+b^2)?
  10. 10Which of the following expressions can be factorised using the identity for the difference of two squares, \((a+b)(a-b)\)?
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