Ages 12–13🧮 Mathematics12 verified questions on this shelf

Factorising Expressions

Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)

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Question 1 of 3

The total number of tiles required for three different sections of a school floor is represented by the expression 18a2b18a^2b − 27ab2+9a3.27ab^2 + 9a^3. Write the expression as the product of its highest common factor and a bracket. Which of the following is the correct factorised form?

Question 2 of 3

Which of the following expressions is equivalent to (2x−5)2(2x-5)^{2}?

Question 3 of 3

What is the highest common factor (HCF) of all the terms in the expression −20x2y+35xy2−15x3-20x^2y + 35xy^2 - 15x^3?

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.