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Which of the following expressions represents the expanded form of the square of a binomial sum, \((a+b)^2\)?
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Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
The identity is \((a+b)^2=a^2+2ab+b^2\), so A is correct. The middle term \(2ab\) is positive for a sum. Option B is the expansion of \((a-b)^2\). In exams, always check the sign of the middle term.
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What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
The identity is \((a+b)^2=a^2+2ab+b^2\), so A is correct. The middle term \(2ab\) is positive for a sum. Option B is the expansion of \((a-b)^2\). In exams, always check 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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