Algebraic Manipulation

 

 

 

Contents

 

Simple Algebraic Expressions


Evaluation of Algebraic Expression

 

Rules of Algebra

 

Algebraic Fractions

 

Quiz 1

 

Expansion: The Foil Method

 

Algebraic Identities

 

Basic Factorisation

 

Factorisation of Quadratic Polynomials

 

Factorisation by Grouping

 

Quiz 2

 

Long Division

 

Polynomial Identities

 

Quiz 3

 

 

Algebra Main Page

 

Quiz 2

Algebraic Manipulation

1. Expand the following expressions:

(x + 2y)(x - 6y)-(x - y)(x - 3y)

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(x + 2)(x - 5)(x + 8)

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(x2 + x + 1)(x + 2)

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2. Factorise the following:

y2 (y + 2) + 3 (y + 2)

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3x2 - 21y2 

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x3 - 3x2 - 5x + 15 

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3. Factorise the following expressions completely by grouping:

(12 - 4)k2 + (1 - 3h)m2

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h3k + h2khk3 - hk2

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n(n + 1)(n + 2)-3n(n + 1)

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