If 2x=-1+3i, then the value of (1-x2+x)6-(1-x+x2)6 is
32
-64
64
0
Explanation for the correct option:
Find the value of given expression:
Given, 2x=-1+√3i
x=(-1+√3i)2=ω ∵ω=-1+3i2
∴(1-x2+x)6–(1-x+x2)6=(1-ω2+ω)6-(1-ω+ω2)
=(-2ω2)6-(-2ω)6
=26ω12-26ω6
=26-26 ∵ω3=1
=0
Hence, Option ‘D’ is Correct.