Question

(1 + i)⁵ x (1-i)⁵ का मान होगा
(A)-8
(B) 8i
(C)8
(D) 32
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Answer 1

Answer:

Option D i.e.32

Step-by-step explanation:

Given that :-

(1 + i)⁵ x (1-i)⁵

we know that a^m×b^m=(ab)^m

=>[(1+i)(1-i)]⁵

since (a+b)(a-b)=a²-b²

Here,a=1 and b=i

=>(1²-i²)⁵

=>(1-i²)⁵

we know that i²=-1

=>[1-(-1)]⁵

=>(1+1)⁵

=>2⁵

=>2×2×2×2×2

=>32

(1 + i)⁵ x (1-i)⁵=32