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Class 9MathematicsExploring Algebraic IdentitiesFactorisationExpert
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Factorise (9a^2+12ab+4b^2-16c^2).

Answer and explanation

Correct answer: ((3a+2b-4c)(3a+2b+4c))

First (9a^2+12ab+4b^2=(3a+2b)^2), then use (16c^2=(4c)^2). In exams apply difference of squares after forming the perfect square group.

Related tags

GroupingDifference Of SquaresFactorisationExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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  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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