Using the formula for squaring a binomial, evaluate the following:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(i) 
This can be written as:
(100 + 2)2
= (100)2 + 2 (100) (2) + 22
= 10000 + 400 + 4
= 10404
This can be written as:
(100 – 1)2
= (100)2 – 2 (100) (1) + 12
= 10000 – 200 + 1
= 9801
This can be written as:
(1000 + 1)2
= (1000)2 + 2 (1000) (1) + 12
= 1000000 + 2000 + 1
= 1002001
This can be written as:
(1000 – 1)2
= (1000)2 – 2 (1000) (1) + 12
= 1000000 – 2000 + 1
= 998001
This can be written as:
(700 + 3)2
= (700)2 + 2 (700) (3) + 32
= 490000 + 4200 + 9
= 494209
3