CHAPTER 2: FACTORISATION & ALGEBRAIC FRACTIONS

2.2
FACTORISATION
OF ALGEBRAIC
EXPRESSIONS

Learning Outcome

2.2.2 Factorise algebraic expressions using
various methods.

Factorisation
Of Algebraic
Expressions

Concept

Factorisation is the
process of determining
the factors of an
algebraic expression or
algebraic terms and when
multiplied
together will form the
original expression.

Factorisation is the
reverse process of an
expansion.

01

Factorisation by
using HCF method

Factorise 8x + 12xy.

4 8x + 12xy
x 2x + 3xy

2 + 3y Answer: 4x(2+3y)

Factorise

Answer: 5x(x+2y)

Factorise

Answer: 7y(y-4x)

Factorise

Answer:

1.1

Practice

Factorise

Answer: x(4x+7)

Factorise

Answer:
8xy(3x-2y)

Factorisation by using difference of

02 squares of two terms

Expand Revision

Difference of squares

If we reverse this, we say that

Example 1: Factorise Square
numbers:
Look out for 1 , 4, 9, 16,
square numbers. 25, 36, 49,
Apply : 64, 81,......

Answer:

Example 2: Factorise

Look out for
square numbers.
Apply :

Answer:

Example 3: Factorise

Get into the form

Apply :

Answer:

Example 4: Factorise

Get into the form

Apply :

Answer:

Example 5: Factorise

Get into the form

Apply :

Answer:

Example 6: Factorise

Get into the form

Apply :

Answer:

Example 7: Factorise

Take out a
common factor

Get into the form

Apply :

Answer:

2.1

Practice

1.Factorise 3.Factorise
2.Factorise 4.Factorise

REVIEW

Expansion

HCF method Factorisation

Difference of squares method