The value of z^2 given that z = -2 + 3i is z^2 = 1 - 12i
How to determine the value of z^2?
The complex number expression is given as:
z = -2 + 3i
Square both sides
z^2 = (-2 + 3i)^2
Expand the square
z^2 = 4 + 3i^2 - 12i
i^2 = -1
So, we have:
z^2 = 4 - 3 - 12i
Evaluate the like terms
z^2 = 1 - 12i
Hence, the value of z^2 given that z = -2 + 3i is z^2 = 1 - 12i
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