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Class 9MathematicsExploring Algebraic IdentitiesAlgebraic identitiesMedium
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What is the main difference between ( (x+5)(x-5) ) and ( (x-5)^2 )?

Answer and explanation

Correct answer: The first is (x^2-25) and the second is (x^2-10x+25)

In opposite-sign product mixed terms cancel but in a square the middle term remains. Exam tip: do not mix the two forms.

Related tags

Identity ComparisonDifference Of SquaresMinus SquareAlgebraic IdentitiesExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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10 more MCQs
  1. 1What is the correct expansion of the identity ( (a+b)^2 )?
  2. 2Choose the correct expansion of the identity ( (x-y)^2 ).
  3. 3The identity ( (p+q)(p-q) ) is equal to what?
  4. 4Which of the following identities represents the factorisation of the difference of two squares?
  5. 5Which of the following identities represents the square of the difference of two terms?
  6. 6In the expansion of which of the following identities is the middle term negative?
  7. 7Which of the following expressions can be written as a product of two binomials using the identity for the difference of squares?
  8. 8Which of the following expressions can be factorised using the identity \(a^2-b^2=(a-b)(a+b)\)?
  9. 9Which algebraic identity is used to factorise a difference of two squares?
  10. 10What is the middle term in ( (3a+2b)^2 )?
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