What will be the factorised form of (7x^2+14xy)?
Answer and explanation
Correct answer: \(7x(x+2y)\)
The greatest common factor of \(7x^2\) and \(14xy\) is \(7x\). Factoring it out gives \(7x^2+14xy=7x(x+2y)\). The closest distractor, \(14x(x+y)\), expands to \(14x^2+14xy\), so its first term is different. Exam tip: expand the brackets to check whether the original expression is obtained.
Frequently asked questions
What is the correct answer to this question?
\(7x(x+2y)\)
Why is this the correct answer?
The greatest common factor of \(7x^2\) and \(14xy\) is \(7x\). Factoring it out gives \(7x^2+14xy=7x(x+2y)\). The closest distractor, \(14x(x+y)\), expands to \(14x^2+14xy\), so its first term is different. Exam tip: expand the brackets to check whether the original expression is obtained.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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