blkboicujo blkboicujo
  • 21-06-2019
  • Mathematics
contestada

Which expression is equivalent to (4 +6i)^2??
-20 + 48i
8 + 12i
16 - 36i
20 + 48i

Respuesta :

choixongdong
choixongdong choixongdong
  • 21-06-2019

Answer:

-20 + 48i

Step-by-step explanation:

(4 +6i)^2 (Perfect square)

= (4)^2 + 2(4)(6i) + (6i)^2

= 16 + 48i + 36i^2

= 16 + 48i - 36    (i^2 = -1)

= -20 + 48i

Answer Link
presipao
presipao presipao
  • 04-09-2019

Answer:

[tex]-20+48 \text{i}[/tex]

Step-by-step explanation:

Note that

[tex](4+6i)^2=4^2+2\cdot(4\cdot6i)+(6\cdot i)^2=16+48i+36i^2=16+48i-36\\\\=(36-13)+48i=-20+48i[/tex]

and we are done.

Answer Link

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