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Class 9MathematicsExploring Algebraic IdentitiesAlgebraic identitiesEasy
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What is the middle term in ( (2a-b)^2 )?

Answer and explanation

Correct answer: \(-4ab\)

Using the identity \((x-y)^2=x^2-2xy+y^2\), the middle term is \(-2xy\). Here, \(x=2a\) and \(y=b\), so the middle term is \(-2\times 2a\times b=-4ab\). The option \(-2ab\) misses the coefficient 2 in \(2a\). Exam tip: always multiply the coefficients of both terms while finding the middle term.

Related tags

Algebraic IdentitiesBinomial SquareMiddle TermClass 9 MathematicsExploring 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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