VIDEO 01
What is Factorisation? | Algebraic Expressions Explained.
Learn what factorisation means, how algebraic expressions can be rewritten as products and why factorisation is the reverse of expansion.
Algebraic Expressions: Factorisation
Learn how to factorise algebraic expressions using common factors, special products, trinomials, grouping and cubes.
01abWhat Is Factorisation?
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02ax + ay = a(x + y)Highest Common Factor (HCF)
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VIDEO 01
How to Factorise Using the Highest Common Factor | Grade 10 CAPS
Learn how to find the HCF, take it outside the bracket, divide each term correctly and check the answer by multiplying back.
VIDEO 02
How to Factorise Using a Common Bracket | Grade 10 Maths
Learn how to factorise using identical and opposite common brackets, including sign changes and hidden common factors.
03a² − b²Difference of Two Squares
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VIDEO 01
Difference of Squares Explained | Grade 10 Factorisation
Learn how to recognise and factorise a difference of two squares using a simple step-by-step checklist and perfect-square examples.
VIDEO 02
Difference of Two Squares: Advanced Factorising | Grade 10 Maths
Learn how to factorise more advanced difference-of-two-squares expressions by checking for an HCF first and working with higher exponents.
04x² + bx + cFactorising Quadratic Trinomials
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VIDEO 01
Factorising Basic Trinomials Made Easy | CAPS Grade 10 Maths
Learn how to factorise basic quadratic trinomials using factor pairs and sign rules, and check your answer by expanding the brackets.
VIDEO 02
Factorising Trinomials Using the AC Method | Part 1 | Grade 10 CAPS
Learn how to factorise trinomials when the leading coefficient is not 1 using the AC method, with three worked examples.
VIDEO 03
Factorising Trinomials Using the AC Method | Part 2 | Grade 10 CAPS
Continue factorising non-monic trinomials using the AC method and grouping, including descending powers and repeated brackets.
VIDEO 04
How to Factorise Two-Variable Trinomials Step by Step | AC Method
Learn how to factorise trinomials containing two variables using the AC and grouping method through worked Grade 10 examples.
05ax + ay + bx + byFactorising by Grouping
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VIDEO 01
Factorising by Grouping Made Easy | Grade 10 CAPS
Learn how to factorise four-term algebraic expressions by choosing suitable groups, removing common factors and identifying the common bracket.
VIDEO 02
Factorising by Grouping Part 2 | More Practice Examples | CAPS
Practise more challenging grouping examples, including identifying the HCF, rearranging terms and matching common brackets.
06a³ ± b³Factorising the Sum and Difference of Two Cubes
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VIDEO 01
How to Factorise the Sum and Difference of Two Cubes
Learn how to recognise perfect cubes and factorise the sum and difference of two cubes step by step using the correct patterns.
VIDEO 02
Sum and Difference of Two Cubes | Grade 10 Practice Examples
Practise factorising sums and differences of two cubes through four Grade 10 worked examples.
