A4
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A4
A4
simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
- collecting like terms
- multiplying a single term over a bracket
- taking out common factors
- expanding products of two or more binomials
- factorising quadratic expressions of the form x^2 + bx + c, including the difference of two squares; factorising quadratic expressions of the form ax^2 + bx + c
- simplifying expressions involving sums, products and powers, including the laws of indices
A4-01 [Collecting Like Terms]
A4-01 [Collecting Like Terms]
A4-02 [Collecting Like Terms Examples Part 1]
A4-02 [Collecting Like Terms Examples Part 1]
A4-03 [Collecting Like Terms Examples Part 2]
A4-03 [Collecting Like Terms Examples Part 2]
A4-04 [Collecting Like Terms Examples Part 3]
A4-04 [Collecting Like Terms Examples Part 3]
A4-05 [Multiplying Terms]
A4-05 [Multiplying Terms]
A4-06 [Multiplying Terms Examples Part 1]
A4-06 [Multiplying Terms Examples Part 1]
A4-07 [Multiplying Terms Examples Part 2]
A4-07 [Multiplying Terms Examples Part 2]
A4-08 [Multiplying Terms Examples Part 3]
A4-08 [Multiplying Terms Examples Part 3]
A4-09 [Brackets]
A4-09 [Brackets]
A4-10 [Multiplying Terms Examples Part 4]
A4-10 [Multiplying Terms Examples Part 4]
A4-11 [Multiplying Terms Examples Part 5]
A4-11 [Multiplying Terms Examples Part 5]
A4-12 Multiplying Terms Examples Part 6
A4-12 Multiplying Terms Examples Part 6
A4-13 [Dividing Terms]
A4-13 [Dividing Terms]
A4-14 [Dividing Terms Examples Part 1]
A4-14 [Dividing Terms Examples Part 1]
A4-15 [Dividing Terms Examples Part 2]
A4-15 [Dividing Terms Examples Part 2]
A4-16 [Dividing Terms Examples Part 3]
A4-16 [Dividing Terms Examples Part 3]
A4-17 [Simplifying Algebraic Fractions Examples 1]
A4-17 [Simplifying Algebraic Fractions Examples 1]
A4-18 [Simplifying Algebraic Fractions Examples 2]
A4-18 [Simplifying Algebraic Fractions Examples 2]
A4-19 [Simplifying Algebraic Fractions Examples 3]
A4-19 [Simplifying Algebraic Fractions Examples 3]
A4-20 [Simplifying Algebraic Fractions Examples 4]
A4-20 [Simplifying Algebraic Fractions Examples 4]
A4-21 [Expanding Single Brackets]
A4-21 [Expanding Single Brackets]
A4-22 [Expanding Single Brackets Examples Part 1]
A4-22 [Expanding Single Brackets Examples Part 1]
A4-23 [Expanding Single Brackets Examples Part 2]
A4-23 [Expanding Single Brackets Examples Part 2]
A4-24 [Expanding Single Brackets Examples Part 3]
A4-24 [Expanding Single Brackets Examples Part 3]
A4-25 [Expanding Single Brackets Examples Part 4]
A4-25 [Expanding Single Brackets Examples Part 4]
A4-26 [Expanding Single Brackets Examples Part 5]
A4-26 [Expanding Single Brackets Examples Part 5]
A4-27 [Expand Brackets and Fully Simplify Example 1]
A4-27 [Expand Brackets and Fully Simplify Example 1]
A4-28 [Expand Brackets and Fully Simplify Example 2]
A4-28 [Expand Brackets and Fully Simplify Example 2]
A4-29 [Introduction to Factorising]
A4-29 [Introduction to Factorising]
A4-30 [Factorising into Single Brackets Examples Part 1]
A4-30 [Factorising into Single Brackets Examples Part 1]
A4-31 [Factorising into Single Brackets Examples Part 2]
A4-31 [Factorising into Single Brackets Examples Part 2]
A4-32 [Factorising into Single Brackets Examples Part 3]
A4-32 [Factorising into Single Brackets Examples Part 3]
A4-33 [Factorising into Single Brackets Examples Part 4]
A4-33 [Factorising into Single Brackets Examples Part 4]
A4-34 [Factorising into Single Brackets Examples Part 5]
A4-34 [Factorising into Single Brackets Examples Part 5]
A4-35 [Expanding Double Brackets]
A4-35 [Expanding Double Brackets]
A4-36 [Expanding Double Brackets Examples Part 1]
A4-36 [Expanding Double Brackets Examples Part 1]
A4-37 [Expanding Double Brackets Examples Part 2]
A4-37 [Expanding Double Brackets Examples Part 2]
A4-38 [Expanding Double Brackets Examples Part 3]
A4-38 [Expanding Double Brackets Examples Part 3]
A4-39 [Expanding Double Brackets Examples Part 4]
A4-39 [Expanding Double Brackets Examples Part 4]
A4-40 [Expanding Double Brackets Examples Part 5]
A4-40 [Expanding Double Brackets Examples Part 5]
A4-41 Expanding Double Brackets Examples Part 6
A4-41 Expanding Double Brackets Examples Part 6
A4-42 [Algebra & Surds: Simplifying Expressions]
A4-42 [Algebra & Surds: Simplifying Expressions]
A4-43 [Algebra & Surds: Expanding Single Brackets]
A4-43 [Algebra & Surds: Expanding Single Brackets]
A4-44 [Algebra & Surds: Expanding Double Brackets]
A4-44 [Algebra & Surds: Expanding Double Brackets]
A4-45 Expanding Triple Brackets
A4-45 Expanding Triple Brackets
A4-46 Expanding Triple Brackets Examples 1
A4-46 Expanding Triple Brackets Examples 1
A4-47 Expanding Triple Brackets Examples 2
A4-47 Expanding Triple Brackets Examples 2
A4-48 Expanding Triple Brackets Examples 3
A4-48 Expanding Triple Brackets Examples 3
A4-49 Notes on Algebraic Fractions
A4-49 Notes on Algebraic Fractions
A4-50 Multiplying / Dividing Algebraic Fractions
A4-50 Multiplying / Dividing Algebraic Fractions
A4-51 Multiplying Algebraic Fractions Examples
A4-51 Multiplying Algebraic Fractions Examples
A4-52 Dividing Algebraic Fractions Examples
A4-52 Dividing Algebraic Fractions Examples
A4-53 Adding / Subtracting Algebraic Fractions
A4-53 Adding / Subtracting Algebraic Fractions
A4-54 Adding / Subtracting Algebraic Fractions Examples 1
A4-54 Adding / Subtracting Algebraic Fractions Examples 1
A4-55 Adding / Subtracting Algebraic Fractions Examples 2
A4-55 Adding / Subtracting Algebraic Fractions Examples 2
A4-56 Adding / Subtracting Algebraic Fractions Examples 3
A4-56 Adding / Subtracting Algebraic Fractions Examples 3
A4-57 [Factorising Quadratics x^2 + bx + c]
A4-57 [Factorising Quadratics x^2 + bx + c]
A4-58 [Factorising Quadratics x^2 + bx + c Examples Part 1]
A4-58 [Factorising Quadratics x^2 + bx + c Examples Part 1]
A4-59 [Factorising Quadratics x^2 + bx + c Examples Part 2]
A4-59 [Factorising Quadratics x^2 + bx + c Examples Part 2]
A4-60 [Factorising Quadratics x^2 + bx + c Examples Part 3]
A4-60 [Factorising Quadratics x^2 + bx + c Examples Part 3]
A4-61 [Factorising Quadratics x^2 + bx + c Examples Part 4]
A4-61 [Factorising Quadratics x^2 + bx + c Examples Part 4]
A4-62 [Factorising Quadratics x^2 + bx + c Examples Part 5]
A4-62 [Factorising Quadratics x^2 + bx + c Examples Part 5]
A4-63 [The Difference of Two Squares]
A4-63 [The Difference of Two Squares]
A4-64 [The Difference of Two Squares Examples Part 1]
A4-64 [The Difference of Two Squares Examples Part 1]
A4-65 [The Difference of Two Squares Examples Part 2]
A4-65 [The Difference of Two Squares Examples Part 2]
A4-66 [The Difference of Two Squares Examples Part 3]
A4-66 [The Difference of Two Squares Examples Part 3]
A4-67 [The Difference of Two Squares Examples Part 4]
A4-67 [The Difference of Two Squares Examples Part 4]
A4-68 [The Difference of Two Squares Examples Part 5]
A4-68 [The Difference of Two Squares Examples Part 5]
A4-69 [What we mean by “Fully Factorise”]
A4-69 [What we mean by “Fully Factorise”]
A4-70 Factorising Quadratics ax^2 + bx + c
A4-70 Factorising Quadratics ax^2 + bx + c
A4-71 Factorising Quadratics ax^2 + bx + c Examples Part 1
A4-71 Factorising Quadratics ax^2 + bx + c Examples Part 1
A4-72 Factorising Quadratics ax^2 + bx + c Examples Part 2
A4-72 Factorising Quadratics ax^2 + bx + c Examples Part 2
A4-73 Factorising Quadratics ax^2 + bx + c Examples Part 3
A4-73 Factorising Quadratics ax^2 + bx + c Examples Part 3
A4-74 Factorising Quadratics ax^2 + bx + c Examples Part 4
A4-74 Factorising Quadratics ax^2 + bx + c Examples Part 4
A4-75 Factorising Quadratics ax^2 + bx + c Examples Part 5
A4-75 Factorising Quadratics ax^2 + bx + c Examples Part 5
A4-76 Factorising Quadratics ax^2 + bx + c Examples Part 6
A4-76 Factorising Quadratics ax^2 + bx + c Examples Part 6
A4-77 Factorising Quadratics ax^2 + bx + c Examples Part 7
A4-77 Factorising Quadratics ax^2 + bx + c Examples Part 7
A4-78 Factorising & Prime Factor Problem
A4-78 Factorising & Prime Factor Problem
A4-79 Notes on x^2 + a
A4-79 Notes on x^2 + a
A4-80 Largest & Smallest Values with x^2 + a
A4-80 Largest & Smallest Values with x^2 + a
A4-81 Notes on (x + a)/(x - b)
A4-81 Notes on (x + a)/(x - b)
A4-82 Where are these Fractions Undefined?
A4-82 Where are these Fractions Undefined?
A4-83 Simplifying Algebraic Fractions Examples Part 1
A4-83 Simplifying Algebraic Fractions Examples Part 1
A4-84 Simplifying Algebraic Fractions Examples Part 2
A4-84 Simplifying Algebraic Fractions Examples Part 2
A4-85 Simplifying Algebraic Fractions Examples Part 3
A4-85 Simplifying Algebraic Fractions Examples Part 3
A4-86 A Tougher Subtracting Algebraic Fractions Example
A4-86 A Tougher Subtracting Algebraic Fractions Example