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Which of the following algebraic identities expresses the product of the sum and difference of two terms as the difference of their squares?
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Answer and explanation
Correct answer: \((a+b)(a-b)=a^2-b^2\)
In \((a+b)(a-b)\), the cross terms \(+ab\) and \(-ab\) cancel, leaving \(a^2-b^2\). Option A is the square of a sum, not this product. Exam tip: look for opposite signs.
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What is the correct answer to this question?
\((a+b)(a-b)=a^2-b^2\)
Why is this the correct answer?
In \((a+b)(a-b)\), the cross terms \(+ab\) and \(-ab\) cancel, leaving \(a^2-b^2\). Option A is the square of a sum, not this product. Exam tip: look for 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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