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•Expanding Brackets
Chapter 6
Algebraic Expressions III
•Factorisation Of Algebraic Expressions
•Addition And Subtraction Of Alfebraic Fraction
•Multiplication And Division Of Algebraic Fractions
6.1
6.2
6.3
6.4
Prepared By
MUHAMAD AMIN BIN ABDUL MAJID
(COPYRIGHT RESERVED)
x2 – y2
x + y
2x – 5y
3 6

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Expanding Brackets6.1
Expansion is the product of multiplying an
algebraic expression by a term or another
algebraic expression.
a) 3x ( 3x – 4y)
= 9x2
- 12xy
Expanding the brackets
means that each term inside
the brackets is multiplied by
the term outside.
Example 1:
Find the product of the following.

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Expanding Brackets6.1
Expansion is the product of multiplying an
algebraic expression by a term or another
algebraic expression.
b) (x – y) (3x + 5y)
= 3x2
+ 5xy- 3xy - 5y2
Like terms can be simplified
= 3x2 + 2xy – 5y2
Expanding the
brackets means that
each term inside the
brackets is multiplied
by the term outside.
Example 2:
Find the product of the following.

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The expansion of a linear algebraic expression
with a linear term can be obtained by multiplying
each term of the algebraic expression with the
linear term outside. (single bracket)
Expanding Brackets6.1
Example 3:
Find the product of the following
a) 5a( 4b) b) -3m (2m – 7n)
= 5a x 4b
= 20ab
-3m(2m) -3m(-7n)
= -6m2 + 21mn
a term times with
another terma term times with
an algebraic
expression
The product is
also a term
The product is
an algebraic
expression