In which form can ( a^2+2ab+b^2 ) be written?
Answer and explanation
Correct answer: \((a+b)^2\)
Using the identity \((a+b)^2=a^2+2ab+b^2\), the given expression is \((a+b)^2\); hence option C is correct. In \((a-b)^2\), the middle term is \(-2ab\), so it cannot match. Exam tip: use the sign of the middle term to distinguish between the two square identities.
Frequently asked questions
What is the correct answer to this question?
\((a+b)^2\)
Why is this the correct answer?
Using the identity \((a+b)^2=a^2+2ab+b^2\), the given expression is \((a+b)^2\); hence option C is correct. In \((a-b)^2\), the middle term is \(-2ab\), so it cannot match. Exam tip: use the sign of the middle term to distinguish between the two square identities.
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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