Which type of expression can be factorised directly using the identity \(a^2-b^2=(a-b)(a+b)\)?
Answer and explanation
Correct answer: Difference of two perfect-square terms
In \(a^2-b^2\), both terms are perfect squares joined by subtraction, so it becomes \((a-b)(a+b)\). A sum of squares does not use this identity. Exam tip: check the sign between the squared terms first.
Frequently asked questions
What is the correct answer to this question?
Difference of two perfect-square terms
Why is this the correct answer?
In \(a^2-b^2\), both terms are perfect squares joined by subtraction, so it becomes \((a-b)(a+b)\). A sum of squares does not use this identity. Exam tip: check the sign between the squared terms first.
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.