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Subjects

Mathematics

Factorisation

Factorisation is a Class 9 Mathematics topic within the chapter “Exploring Algebraic Identities.” Students learn how to rewrite algebraic expressions as products of simpler factors by taking out common factors, grouping terms, and applying identities such as the difference of squares and perfect-square forms. They practise recognising patterns, checking results by expansion, and using factorisation to simplify expressions and solve related algebraic problems accurately.

Topic overview

Concept revision

What is the greatest common factor when factorising 6x + 9?

The correct answer is 3. A common factor must divide every term of the expression.

Which is the correct factorisation of 4a + 8?

The correct factorisation is 4(a + 2). Both terms, 4a and 8, have 4 as a common factor.

Which common factor will be taken out from (xy + xz)?

Answer: C, x. The expression has two terms: xy and xz.

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