# x2 – 4ax + 4a2 – b2 = 0

Using splitting middle term, the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation = = And either of their sum or difference = b

= Thus the two terms are Sum = = = Product = using = =     x[x-(2a + b)]-(2a-b)[x-(2a + b)] = 0

[x-(2a-b)][x-(2a + b)] = 0

[x-(2a-b)] = 0 or [x-(2a + b)] = 0

x = (2a-b) or x = (2a + b)

Hence roots of equation are x = (2a - b) or x = (2a + b)

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