XXVShootXXV XXVShootXXV
  • 20-11-2021
  • Mathematics
contestada

Which complex number is equivalent to the given expression?
(-45-22i)+2(5-3i)(5+3i)
A. -30-25i
B. -11+22i
C. -13+38i
D. 23-22i

Respuesta :

jimthompson5910 jimthompson5910
  • 20-11-2021

Answer: Choice D.  23-22i

Work Shown:

(-45-22i)+2(5-3i)(5+3i)

(-45-22i)+2(5^2-(3i)^2)

(-45-22i)+2(25-9i^2)

(-45-22i)+2(25-9(-1))

(-45-22i)+2(25+9)

(-45-22i)+2(34)

-45-22i+68

(-45+68)-22i

23-22i

In the second step, I used the difference of squares rule. Keep in mind that i^2 = -1 since i = sqrt(-1).

Answer Link
samanthapacheco1022
samanthapacheco1022 samanthapacheco1022
  • 05-02-2022

Answer:

23-22i

Step-by-step explanation:

Answer Link

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