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

Otras preguntas

What's the graph below thanks
Marijuana, lsd, and club drugs are included together because:
What is a driver error that may cause a negative reaction by other drivers?
Graphing functions - Alg2: Can someone please explain how to get from -x{2} + 4x - 1 to y? I'm having trouble figuring out how to get to y. Thank you.
What is 3/5=h/20 can you please help me
Which valve permits blood to flow from the right atrium into the right ventricle?
which of the following was NOT a common character in Native American myths
Sally wants to know how to subtract 1002 - 20
more lesson 10 help me
Predict the phenotypic ratios of offsprings when a homozygous white cow is crossed with roan bull