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Subjects
Class 9MathematicsExploring Algebraic IdentitiesFactorisationMediumLevel 71
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How will (4x^2-12xy+9y^2) be factorised?

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Answer and explanation

Correct answer: ((2x-3y)^2)

(4x^2=(2x)^2), (9y^2=(3y)^2), and the middle term is negative. In exams the sign of the middle term is decisive.

Related tags

Perfect SquareNegative MiddleFactorisation

Frequently asked questions

What is the correct answer to this question?

((2x-3y)^2)

Why is this the correct answer?

(4x^2=(2x)^2), (9y^2=(3y)^2), and the middle term is negative. In exams the sign of the middle term is decisive.

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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10 more MCQs
  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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