BENGKEL MATHS TKC TINGKATAN 2 , 2022

ALGEBRAIC EXPRESSIONS AND BASIC ARITHMETIC

OPERATIONS
Simplify each of the following

c) 5 x  3 x 5x  3x
32 32
 10 x  9 x
Solution
6

x
6

ALGEBRAIC EXPRESSIONS AND BASIC ARITHMETIC

OPERATIONS
Simplify each of the following

d) m  5 m m  5m
4 r 14 rs 4 r 14 rs

Solution

 7 ms  10 m
28 rs

ALGEBRAIC EXPRESSIONS AND BASIC ARITHMETIC

OPERATIONS

Simplify each of the following a2 1 b2
2 ab 1  a
e) a 2  1  b 2  ( a  1)( a  1)  b 2
2 ab 1  a
2 ab 1  a
Solution

a2  2ab  b2  (a  b)2  b (a  1)
Remember a2  2ab  b2  (a  b)2 2a

a2  b2  (a  b)(a  b)

ALGEBRAIC EXPRESSIONS AND BASIC ARITHMETIC
OPERATIONS
Simplify each of the following

f) a 2  b 2  ( a  b ) 2
10 a  5b 8 a  4 b

Solution ( a  b )( a  b )  4 ( 2 a  b )
Remember 5 ( 2 a  b ) ( a  b )( a  b )

a2  2ab  b2  (a  b)2  4(a  b)
5(a  b)
a2  2ab  b2  (a  b)2

a2  b2  (a  b)(a  b)

ALGEBRAIC EXPRESSIONS AND BASIC ARITHMETIC
OPERATIONS
Simplify each of the following

g) a  b  ( a  b ) 2
3a  b 6a  2b

Remember Solution ( a  b )  2 (3 a  b )
3 a  b ( a  b )( a  b )

a2  2ab  b2  (a  b)2 2
ab
a2  2ab  b2  (a  b)2

a2  b2  (a  b)(a  b)



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