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Which identity correctly expresses the difference of two squares as a product of factors?
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Answer and explanation
Correct answer: \(a^2-b^2=(a+b)(a-b)\)
The correct identity is \(a^2-b^2=(a+b)(a-b)\). Multiplying gives \(a^2-ab+ab-b^2=a^2-b^2\). In contrast, \((a-b)^2\) contains an extra \(-2ab\) term. Exam tip: look for conjugate binomials with opposite signs.
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What is the correct answer to this question?
\(a^2-b^2=(a+b)(a-b)\)
Why is this the correct answer?
The correct identity is \(a^2-b^2=(a+b)(a-b)\). Multiplying gives \(a^2-ab+ab-b^2=a^2-b^2\). In contrast, \((a-b)^2\) contains an extra \(-2ab\) term. Exam tip: look for conjugate binomials with opposite signs.
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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