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Which of the following expressions is the algebraic identity for the square of the difference of two terms?
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Answer and explanation
Correct answer: \(a^2-2ab+b^2\)
The square of a difference is \((a-b)^2=a^2-2ab+b^2\), so its middle term is negative. \(a^2-b^2\) is a difference of squares, not a square expansion. Exam tip: use the sign of the middle term to identify the identity.
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What is the correct answer to this question?
\(a^2-2ab+b^2\)
Why is this the correct answer?
The square of a difference is \((a-b)^2=a^2-2ab+b^2\), so its middle term is negative. \(a^2-b^2\) is a difference of squares, not a square expansion. Exam tip: use the sign of the middle term to identify the identity.
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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