Q. 2 B5.0( 3 Votes )

# Simplify each of the following and express it in the form (a + ib) :(5 – 2i)2

Given: (5 – 2i)2

We know that,

(a – b)2 = a2 + b2 – 2ab …(i)

So, on replacing a by 5 and b by 2i in eq. (i), we get

(5)2 + (2i)2 – 2(5)(2i)

= 25 + 4i2 – 20i

= 25 – 4 – 20i [ i2 = -1]

= 21 – 20i

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