Simplify.
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii)(m2 - n2m) 2 + 2m3n2
(viii)
(i) Using Identity (a - b) 2 = a2 - 2ab + b2
In the given expression a = 
On substituting these values in the above identity, we get
(ii) 
Using Identity a2 - b2 = (a + b)(a - b)
In the given expression a = 
On substituting these values in the above identity, we get
(iii) 
Using Identity (a - b)2 = a2 - 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
Using Identity (a + b) 2 = a2 + 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(ii)
On Adding equations (i) and (ii), we get
(iv) 
Using Identity (a + b) 2 = a2 + 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
Using Identity (a + b) 2 = a2 + 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(ii)
On Adding equations (i) and (ii), we get
(v) 
Using Identity (a - b) 2 = a2 - 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
Using Identity (a - b) 2 = a2 - 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
On Subtracting equations (ii) from (i), we get
(vi) 
Using Identity (a + b)2 = a2 + 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
On Subtracting 
from (i), we get
(vii) (m2 - n2m)2 + 2m3n2
Using Identity (a - b) 2 = a2 - 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
On Subtracting 
from (i), we get
(viii) 
Using Identity (a - b) 2 = a2 - 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(i)
On Adding 
in eqn (i), we get
First Find the value of RHS
Using Identity (a + b) 2 = a2 + 2ab + b2 for finding the value of 
In the given expression a = 
On substituting these values in the above identity, we get
⇒ 
………………………………………………..(ii)
Therefore from eqn (i) and equ (ii) we found that LHS = RHS