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Class 9MathematicsExploring Algebraic IdentitiesFactorisationExpert
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What is the factorised form of (x^2+6x+9-y^2)?

Answer and explanation

Correct answer: ((x+3-y)(x+3+y))

Here (x^2+6x+9=(x+3)^2), then difference of squares applies. Exam tip: first convert the trinomial into a perfect square.

Related tags

Combined IdentityPerfect SquareDifference Of SquaresFactorisationExploring 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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