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julsineya [31]
3 years ago
8

Express the quantities below in a+bi form, and graph the corresponding points on the complex plane. If you use one set of axes,

be sure to label each point appropriat (1+i)-(1-i), (1+i)(1-i), i(2-i)(1+2i).

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

Step-by-step explanation:

As we know that

      Complex number written as

   Z = x  +  i y

x is the real part (on real axis).

y is the imaginary part(on imaginary axis).

For  (1+i)-(1-i):

Z=   (1+i)-(1-i)

Z = 1 + i - 1 + i

Z=2 i

So x= 0 ,y= 2

For (1+i)(1-i):

Z= (1+i)(1-i) = 1 - i²                         ( i²  = 1)

Z = 1 - (-1) = 2

So x= 2 and y= 0

For  i(2-i)(1+2i):

Z=  i(2-i)(1+2i) = (2 i-  i²) (1+2i)

Z=  (2i + 1) (1+2i)

Z = 2i +1 +4i² + 2i

Z= 4i + 1 - 4

Z= - 3+ 4 i

x = - 3  and y =4

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Step-by-step explanation:

If we have a mathematical problem, it's important to follow all of the steps. In this instance, we have to reduce our fractions as well as pay attention to how they are grouped together before dividing out what remains. This means that if we break it into three groups - 8 and 9 11/2 groups - 3 and 1 17/4, then divide everything by 4 with a remainder of 2/4....we get a total of 17/4 remaining which is equal to 5 1/8 = 62%.

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