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Which of the following algebraic identities is true for every real value of a and b?
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Answer and explanation
Correct answer: \((a-b)^2=a^2-2ab+b^2\)
Option A is correct because multiplying \((a-b)(a-b)\) gives \(a^2-ab-ab+b^2=a^2-2ab+b^2\). Option B is the expansion of \((a+b)^2\). Exam tip: check the sign of the middle term carefully.
Frequently asked questions
What is the correct answer to this question?
\((a-b)^2=a^2-2ab+b^2\)
Why is this the correct answer?
Option A is correct because multiplying \((a-b)(a-b)\) gives \(a^2-ab-ab+b^2=a^2-2ab+b^2\). Option B is the expansion of \((a+b)^2\). Exam tip: check the sign of the middle term 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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