What is the factorised form of (6x+9)?
Answer and explanation
Correct answer: \(3(2x+3)\)
The greatest common factor of \(6x\) and \(9\) is \(3\). Taking \(3\) outside gives \(6x+9=3(2x+3)\), so option A is correct. Expanding the close distractor, \(3(2x+9)\), gives \(6x+27\), not the given expression. Exam tip: verify factorisation by expanding the brackets.
Frequently asked questions
What is the correct answer to this question?
\(3(2x+3)\)
Why is this the correct answer?
The greatest common factor of \(6x\) and \(9\) is \(3\). Taking \(3\) outside gives \(6x+9=3(2x+3)\), so option A is correct. Expanding the close distractor, \(3(2x+9)\), gives \(6x+27\), not the given expression. Exam tip: verify factorisation by expanding the brackets.
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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