m4pimupmu3 m4pimupmu3
  • 26-05-2021
  • Mathematics
contestada

Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i

Simplify the following expression 3i 4 i 46 2i A 148i B 27 11i C 1441i D 28 10i class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-05-2021

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

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