0 reads0 ratings0 helpful
Which is the correct algebraic identity for factorising the sum of two cubes?
Advertisement
Answer and explanation
Correct answer: \(a^3+b^3=(a+b)(a^2-ab+b^2)\)
The sum of two cubes factorises as \((a+b)(a^2-ab+b^2)\). On multiplying, the middle \(ab\) terms cancel, leaving \(a^3+b^3\). Exam tip: for a sum, use \(a+b\) first and a negative middle term in the quadratic factor.
Frequently asked questions
What is the correct answer to this question?
\(a^3+b^3=(a+b)(a^2-ab+b^2)\)
Why is this the correct answer?
The sum of two cubes factorises as \((a+b)(a^2-ab+b^2)\). On multiplying, the middle \(ab\) terms cancel, leaving \(a^3+b^3\). Exam tip: for a sum, use \(a+b\) first and a negative middle term in the quadratic factor.
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