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Subjects
Class 9MathematicsExploring Algebraic IdentitiesAlgebraic identitiesHardLevel 65
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Which of the following expressions matches the identity for the square of a difference, \((p-q)^2=p^2-2pq+q^2\)?

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Answer and explanation

Correct answer: \(m^2-14m+49\)

In \(m^2-14m+49\), the first and last terms are \(m^2\) and \(7^2\), while the middle term is \(-2\times m\times7=-14m\). Hence it is \((m-7)^2\). Exam tip: check both the middle-term sign and twice-product condition.

Related tags

Algebraic IdentitiesSquare Of DifferencePerfect Square TrinomialClass 9 MathematicsPolynomial Patterns

Frequently asked questions

What is the correct answer to this question?

\(m^2-14m+49\)

Why is this the correct answer?

In \(m^2-14m+49\), the first and last terms are \(m^2\) and \(7^2\), while the middle term is \(-2\times m\times7=-14m\). Hence it is \((m-7)^2\). Exam tip: check both the middle-term sign and twice-product condition.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.

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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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