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Grade 10 factorisation questions and answers

Grade 10 factorisation questions and answers Students study factorization of algebraic equations in grade 10, which entails writing an expression as the product of its factors. The following are some typical factorization methods that students could study:

1. Common factor: Identify a common factor in all the terms of an expression, and factor it out. For example, to factorize 2x + 4y, one can factor out the common factor 2 to get 2(x + 2y).
2. Difference of squares: If an expression has the form a^2 – b^2, it can be factored as (a + b)(a – b). For example, x^2 – 9 can be factored as (x + 3)(x – 3).
3. Perfect square trinomials: If an expression has the form a^2 + 2ab + b^2, it can be factored as (a + b)^2. Similarly, if an expression has the form a^2 – 2ab + b^2, it can be factored as (a – b)^2. For example, x^2 + 6x + 9 can be factored as (x + 3)^2.
4. Grouping: If an expression has four or more terms, group the terms in pairs and factor out the common factor from each pair. For example, to factorize 2x^2 + 4x + 3x + 6, one can group the terms to get 2x(x + 2) + 3(x + 2), and then factor out the common factor (x + 2) to get (2x + 3)(x + 2).

These are some of the common factorisation techniques that students learn in Grade 10 Mathematics. Mastering these techniques is important as factorisation is a fundamental skill that is used in many higher-level topics in Mathematics.

Questions and Answers

GRADE 10 Factorization topics converd

• Difference between two squares
• Grouping
• Trinomials
• Sum or difference between cubes
• Factorizing fractions

Worksheet 2 – Algebra: Multiplying and Factorising Expressions Grade 10 Mathematics

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