Please answer ALL THREE PARTS of the question and SHOW ALL W

Please answer ALL THREE PARTS of the question and SHOW ALL WORK please. Thanks.

Write the following complex numbers in standard form: (-3 - 9i)(1 + 10i) (i - 1)^3 (1 + i)(2 + i)(3 + i)

Solution

a

(-3-9i)(1+10i)=-3-30i-9i+90=87-39i

b.

(i-1)^3=i^3-3i(i-1)-1=-i-3i^2+3i-1=-i+3+3i-1=2i+2

c.

Bar denotes complex conjugate.

WE will here denote is by \' instead of bar

((1+i)(2+i))\'(3+i)=(1+i)\'(2+i)\'(3+i)=(1-i)(2-i)(3+i)=(2-1-3i)(3+i)=(1-3i)(3+i)=6-8i

Please answer ALL THREE PARTS of the question and SHOW ALL WORK please. Thanks. Write the following complex numbers in standard form: (-3 - 9i)(1 + 10i) (i - 1)

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