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Class 9MathematicsExploring Algebraic IdentitiesFactorisationExpert
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Which is the factorised form of (4x^2-12xy+9y^2-25)?

Answer and explanation

Correct answer: ((2x-3y-5)(2x-3y+5))

First (4x^2-12xy+9y^2=(2x-3y)^2), then use difference of squares with (25=5^2). Exam tip: form the perfect square and factor further.

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)?
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  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)?
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