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Which of the following statements correctly represents the identity for the difference of two squares?
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Answer and explanation
Correct answer: \(p^2-q^2=(p+q)(p-q)\)
The difference-of-squares identity is \(p^2-q^2=(p+q)(p-q)\). Option B incorrectly treats a sum of squares as a difference. Exam tip: whenever you see \(a^2-b^2\), look for the factors \((a+b)\) and \((a-b)\).
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What is the correct answer to this question?
\(p^2-q^2=(p+q)(p-q)\)
Why is this the correct answer?
The difference-of-squares identity is \(p^2-q^2=(p+q)(p-q)\). Option B incorrectly treats a sum of squares as a difference. Exam tip: whenever you see \(a^2-b^2\), look for the factors \((a+b)\) and \((a-b)\).
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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