04/13/23Copyright Reserved

1

•Expanding BracketsExpanding Brackets

Chapter 6 Chapter 6

Algebraic Expressions III

•Factorisation Of Algebraic ExpressionsFactorisation Of Algebraic Expressions

•Addition And Subtraction Of Alfebraic FractionAddition And Subtraction Of Alfebraic Fraction

•Multiplication And Division Of Algebraic FractionsMultiplication And Division Of Algebraic Fractions

6.1

6.2

6.3

6.4

Prepared ByMUHAMAD AMIN BIN ABDUL MAJID

(COPYRIGHT RESERVED)

(3x + 2)(5x – 1)

7y - 14 3x – 15

3

X2 + 12x + 8

(8x + 3y) - (x + 5y)

x2 – y2

x + y2x – 5y3 6

04/13/23Copyright Reserved

2

Expanding Brackets6.1Expansion 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.

04/13/23Copyright Reserved

3

Expanding Brackets6.1Expansion 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.

04/13/23Copyright Reserved

4

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 followinga) 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