Simplify each of the following expressions:
(i) 
(ii) 
(iii) 
(iv) 
(i) (3 + 
) (2 + 
)
= 3 * 2 + 2 + 
+ 3
+ 
* 
= 6 + 2
+ 3
+ 
(ii) (3 + 
) (3 - 
) [Therefore, (a + b) (a – b) = a2 – b2]
= 32 – (
)2
= 9 – 3
= 6
(iii) (
+ 
)2 [Therefore, (a + b)2 = a2 + b2 + 2ab]
= (
)2 + (
)2 + 2 * 
*
= 5 + 2 + 2 * 
= 7 + 2
(iv) (
- 
) (
+ 
) [Therefore, (a + b) (a – b) = a2 – b2]
= (
)2 – (
)2
= 5 – 2
= 3
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