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Class 9MathematicsExploring Algebraic IdentitiesAlgebraic identitiesExpertLevel 62
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A student claims that \(1003^2=1000^2+3^2=1000009\). What is the correct value of \(1003^2\) when the algebraic identity is applied correctly?

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Answer and explanation

Correct answer: 1006009

\((1000+3)^2=1000^2+2(1000)(3)+3^2=1000000+6000+9=1006009\). The student omitted the middle term \(2ab\). In exams, write all three terms of \((a+b)^2\).

Related tags

Algebraic IdentitiesSquare Of BinomialError AnalysisMiddle TermClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

1006009

Why is this the correct answer?

\((1000+3)^2=1000^2+2(1000)(3)+3^2=1000000+6000+9=1006009\). The student omitted the middle term \(2ab\). In exams, write all three terms of \((a+b)^2\).

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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