Which term does not appear in ( (u+v)(u-v) )?
Answer and explanation
Correct answer: \(uv\)
Using the identity \((u+v)(u-v)=u^2-v^2\), multiplication gives \(uv\) and \(-uv\), which cancel each other. Therefore, the term \(uv\) does not appear in the final expression. The term \(-v^2\) does appear, so it is not the correct choice. Exam tip: recognise \((a+b)(a-b)\) directly as \(a^2-b^2\).
Frequently asked questions
What is the correct answer to this question?
\(uv\)
Why is this the correct answer?
Using the identity \((u+v)(u-v)=u^2-v^2\), multiplication gives \(uv\) and \(-uv\), which cancel each other. Therefore, the term \(uv\) does not appear in the final expression. The term \(-v^2\) does appear, so it is not the correct choice. Exam tip: recognise \((a+b)(a-b)\) directly as \(a^2-b^2\).
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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