RonaldMcdonaldlover7 RonaldMcdonaldlover7
  • 10-01-2020
  • Mathematics
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20 POINTS!!!!!! (5 − 4i)(6 − 2i)

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 10-01-2020

Answer:

22 - 34i   [ or 2(11-17i)   ]

Step-by-step explanation:

(5 − 4i)(6 − 2i)   (expand parentheses by distributive property)

= (5)(6) + (5)(-2i) + (-4i)(6) + (-4i)(-2i)

= 30 - 10i - 24i + 8i²

= 30 - 34i + 8i²   (recall that i² = -1)

= 30 - 34i + 8(-1)

= 30 - 34i - 8

= 22 - 34i   [ or 2(11-17i)   ]

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