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Which of the following expressions is identically equal to \((a+b)^2\) for every real number a and b?
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Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
Expanding \((a+b)(a+b)\) gives \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option A misses the cross-term \(2ab\). Exam tip: always check the sign of the middle term in square identities.
Frequently asked questions
What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
Expanding \((a+b)(a+b)\) gives \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option A misses the cross-term \(2ab\). Exam tip: always check the sign of the middle term in square identities.
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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