mysteryinc2002
mysteryinc2002 mysteryinc2002
  • 23-08-2019
  • Mathematics
contestada

Simplify the expression

(1-3i)(2+5i)-(3-12i).

Show your work.

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sqdancefan
sqdancefan sqdancefan
  • 23-08-2019

Answer:

  14 +11i

Step-by-step explanation:

The product of binomials is found in the usual way, except that i² = -1.

  (1 -3i)(2 +5i) -(3 -12i)

  = (1·2 +1·5i -3i·2 -3i·5i) -3 +12i

  = (2 +15 -3) +i(5 -6 +12)

  = 14 +11i

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