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Which of the following expressions is the square of a sum of two terms?
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Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
\((a+b)^2=a^2+2ab+b^2\), so option A is the square of a sum. Check the middle term: \(2\times a\times b=2ab\). Option B expands \((a-b)^2\). Exam tip: always verify the coefficient of the middle term.
Frequently asked questions
What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
\((a+b)^2=a^2+2ab+b^2\), so option A is the square of a sum. Check the middle term: \(2\times a\times b=2ab\). Option B expands \((a-b)^2\). Exam tip: always verify the coefficient 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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