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What is obtained by simplifying ( (a+b)^2+(a-b)^2 )?
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Answer and explanation
Correct answer: \(2a^2+2b^2\)
\((a+b)^2=a^2+2ab+b^2\) and \((a-b)^2=a^2-2ab+b^2\). On adding them, \(+2ab\) and \(-2ab\) cancel, giving \(2a^2+2b^2\). \(4ab\) results from incorrectly focusing only on the middle terms. Exam tip: expand each square and combine like terms carefully.
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What is the correct answer to this question?
\(2a^2+2b^2\)
Why is this the correct answer?
\((a+b)^2=a^2+2ab+b^2\) and \((a-b)^2=a^2-2ab+b^2\). On adding them, \(+2ab\) and \(-2ab\) cancel, giving \(2a^2+2b^2\). \(4ab\) results from incorrectly focusing only on the middle terms. Exam tip: expand each square and combine like terms carefully.
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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