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


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