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In the expansion of which of the following identities is the middle term negative?
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Answer and explanation
Correct answer: \((a-b)^2=a^2-2ab+b^2\)
The expansion of \((a-b)^2\) is \(a^2-2ab+b^2\), so its middle term \(-2ab\) is negative. In option A, the middle term is \(+2ab\). Exam tip: the sign between the terms determines the sign of the middle term.
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What is the correct answer to this question?
\((a-b)^2=a^2-2ab+b^2\)
Why is this the correct answer?
The expansion of \((a-b)^2\) is \(a^2-2ab+b^2\), so its middle term \(-2ab\) is negative. In option A, the middle term is \(+2ab\). Exam tip: the sign between the terms determines the sign of the middle term.
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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