Which of the following equalities represents the algebraic identity for the difference of two squares?
Answer and explanation
Correct answer: \(a^2-b^2=(a-b)(a+b)\)
The correct identity is \(a^2-b^2=(a-b)(a+b)\). On multiplying the factors, the middle terms cancel, leaving \(a^2-b^2\). Option B is incorrect because \((a-b)^2\) contains the middle term \(-2ab\). Exam tip: look for paired factors with opposite signs.
Frequently asked questions
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 \(a^2-b^2=(a-b)(a+b)\). On multiplying the factors, the middle terms cancel, leaving \(a^2-b^2\). Option B is incorrect because \((a-b)^2\) contains the middle term \(-2ab\). Exam tip: look for paired factors 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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