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Class 9MathematicsExploring Algebraic IdentitiesFactorisationExpert
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Which is the factorised form of (7x^2-28xy+28y^2)?

Answer and explanation

Correct answer: (7(x-2y)^2)

First take out (7), and the remaining (x^2-4xy+4y^2=(x-2y)^2). In exams identify the perfect square after the common factor.

Related tags

Common FactorPerfect SquareFactorisationExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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10 more MCQs
  1. 1A rectangle model must show (x^2-9x+20) in factors. Which pair is correct?
  2. 2In a rectangle model, which option correctly writes \(x^2-13x+40\) as two sides?
  3. 3Which rectangle model correctly represents (2x²+x−15)?
  4. 4A rectangle is divided into parts \(x^2\), \(5x\), \(7x\), and \(35\). What are the possible sides of the rectangle?
  5. 5Which visual rectangle model can factor x² + 18x + 80?
  6. 6What is the greatest common factor when factorising 6x + 9?
  7. 7Which is the correct factorisation of 4a + 8?
  8. 8Which common factor will be taken out from (xy + xz)?
  9. 9Choose the correct factorisation of (5m - 15).
  10. 10In which expression is 3m a common factor of every term?
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