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Which of the following expressions represents the expansion of \((a+b-c)^2\)?
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Answer and explanation
Correct answer: \(a^2+b^2+c^2+2ab-2ac-2bc\)
In \((a+b-c)^2\), first use \((a+b)^2=a^2+2ab+b^2\). Adding \(-2c(a+b)+c^2\) gives option A. In option B, the sign of \(2bc\) is incorrect. Exam tip: mixed terms involving the negative term carry a negative sign.
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What is the correct answer to this question?
\(a^2+b^2+c^2+2ab-2ac-2bc\)
Why is this the correct answer?
In \((a+b-c)^2\), first use \((a+b)^2=a^2+2ab+b^2\). Adding \(-2c(a+b)+c^2\) gives option A. In option B, the sign of \(2bc\) is incorrect. Exam tip: mixed terms involving the negative term carry a negative sign.
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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