Wednesday, January 29, 2014

Evaluate and write in standard form: (4 - 2i)(-3 + 3i).

The standard form of the equation
is:


z = a + bi


We'll remove
the brackets using FOIL method:


(4 - 2i)(-3 + 3i) = -12 +
12i + 6i - 6i^2, but i^2 =-1


We'll group the real parts and
imaginary parts:


(4 - 2i)(-3 + 3i) = -12 + 18i +
6


(4 - 2i)(-3 + 3i) = -6 +
18i


The standard form of the equation is: (4
- 2i)(-3 + 3i) = -6 + 18i.

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