Q. 2 G4.7( 3 Votes )

Simplify each of the following and express it in the form (a + ib) :

(2 + i)–2

Answer :

Given: (2 + i)-2

Above equation can be re – written as



Now, rationalizing




[ (a – b)2 = a2 + b2 – 2ab]


[i2 = -1]


…(i)


Now, we know that,


(a + b)(a – b) = (a2 – b2)


So, eq. (i) become







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