Which of the following expressions can be factorised using the identity \(a^2+2ab+b^2\)?
Answer and explanation
Correct answer: \(x^2+14x+49\)
In \(x^2+14x+49\), \(49=7^2\) and the middle term is \(2\times x\times7=14x\). Hence it is \((x+7)^2\). In exams, check whether the middle term matches \(2ab\).
Frequently asked questions
What is the correct answer to this question?
\(x^2+14x+49\)
Why is this the correct answer?
In \(x^2+14x+49\), \(49=7^2\) and the middle term is \(2\times x\times7=14x\). Hence it is \((x+7)^2\). In exams, check whether the middle term matches \(2ab\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.