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Evaluate the expression (-5 - 9i)(-6 - 6i), and write your answer in the form a + bi. a = ___ and b = ___

Evaluate the expression (-5 - 9i)(-6 - 6i), and write your answer in the form a + bi.
a = ___ and b = ___

Answer

First, expand the expression using the distributive property (FOIL method):

  1. (-5)(-6) = 30
  2. (-5)(-6i) = 30i
  3. (-9i)(-6) = 54i
  4. (-9i)(-6i) = 54i2 = 54(-1) = -54

Combine the real and imaginary parts:

Real part: 30 - 54 = -24

Imaginary part: 30i + 54i = 84i

So, the expression in the form a + bi is:

a = -24 and b = 84

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