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Class 9MathematicsExploring Algebraic IdentitiesFactorisationHard
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What is obtained by factorising (x^2-4x-y^2+4)?

Answer and explanation

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

Since (x^2-4x+4=(x-2)^2), the expression becomes ((x-2)^2-y^2). Exam tip: use (+4) to form a perfect square.

Related tags

Perfect SquareDifference Of SquaresFactorisationExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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  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?
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