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How many double product terms are there in ( (a+b+c)^2 )?
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Answer and explanation
Correct answer: 3
\((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\). The double product terms are \(2ab\), \(2bc\), and \(2ca\), so there are 3 such terms. \(a^2,b^2,c^2\) are square terms, not double product terms. Exam tip: make each distinct pair of variables once: \(ab\), \(bc\), and \(ca\).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
\((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\). The double product terms are \(2ab\), \(2bc\), and \(2ca\), so there are 3 such terms. \(a^2,b^2,c^2\) are square terms, not double product terms. Exam tip: make each distinct pair of variables once: \(ab\), \(bc\), and \(ca\).
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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