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What is the product of the repeated LEARNING
multiplication of algebraic expressions? STANDARDS
Make generalisation
1 Group about repeated
multiplication of
algebraic expressions.
Aim: To make a generalisation about the repeated
multiplication of algebraic expressions.
Instruction: Perform the activity in groups of four.

1. Find the area for each of the following squares in the form of repeated
multiplication.

2 cm a b
CHAPTER
5
2 cm a b

Area = cm × cm Area = × Area = ×

2
= cm = =
2

2. Find the volume for each of the following cubes in the form of repeated
multiplication.

2 cm a b

2 cm a b
2 cm a b
Volume Volume Volume

= cm × cm × cm = × × = × ×
3
3
= cm = =

3. Based on the results above, what generalisations can be made about
(a) a × a × a × a?
(b) a × a × a × a × ... × a, where the multiplication of a is repeated n times?
(c) (i) (a + b) × (a + b)?
(ii) (a + b) × (a + b) × (a + b)?
(iii) (a + b) × (a + b) × (a + b) × (a + b)?
(iv) (a + b) × (a + b) × (a + b) × (a + b) × ... × (a + b),
where the multiplication of (a + b) is repeated n times?

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Chapter 5

05 TB Math F1.indd 114 11/10/16 12:13 PM