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

(4 – 3i)–1


Given: (4 – 3i)-1

We can re- write the above equation as



Now, rationalizing



…(i)


Now, we know that,


(a + b)(a – b) = (a2 – b2)


So, eq. (i) become




[ i2 = -1]





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