Find the product of the following binomials:
(i) (2x + y) (2x + y)
(ii) (a + 2b) (a – 2b)
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
(i) (2x + y) (2x + y)
2x (2x + y) + y (2x + y)
= 4x2 + 2xy + 2xy + 3y
= 4x2 + 4xy + 3y
(ii) (a + 2b) (a – 2b)
a (a – 2b) + 2b (a – 2b)
= a2 – 2ab + 2ab – 4b2
= a2 – 4b2
a2 (a2 – bc) + bc (a2 – bc)
= a4 – a2bc + bca2 – b2c2
= a4 – b2c2
(
+ 
) - 
(
+ 
)
= 
x2 + 
yx - 
– 
= 
x2 - 
y2
2x (2x - 
) + 
(2x - 
)
= 4x2 - 
+ 
- 
= 4x2 – 
2a3 (2a3 – b3) + b3 (2a3 – b3)
= 4a6 – 2a3b3 + 2a3b3 – b6
= 4a6 – b6
x4 (x4 - 
) + 
(x4 - 
)
= x8 – 2x2 + 2x2 - 
= (x8 - 
)
x3 (x3 - 
) + 
(x3 - 
)
= x6 – 1 + 1 - 
= x6 - 
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