0 reads0 ratings0 helpful
What is the correct expansion of ( (a+b)^2 )?
Advertisement
Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
On multiplying \((a+b)(a+b)\), we get \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option B is the expansion of \((a-b)^2\), so its middle term is \(-2ab\). Exam tip: in the square of a binomial, the middle term is twice the product of the two terms.
Frequently asked questions
What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
On multiplying \((a+b)(a+b)\), we get \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option B is the expansion of \((a-b)^2\), so its middle term is \(-2ab\). Exam tip: in the square of a binomial, the middle term is twice the product of the two terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement