queshapitts queshapitts
  • 18-08-2020
  • Mathematics
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Multiply and simplify. (1 − 5i)(1 − 2i) A) 1 + 7i B) 9 − 7i C) 1 − 7i D) − 9 − 7i

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mberisso
mberisso mberisso
  • 18-08-2020

Answer:

The product renders: [tex]-9-7\,i[/tex]

Step-by-step explanation:

Recall that the product of the imaginary unit i by itself renders -1

Now proceed with the product of the two complex numbers using distributive property:

[tex](1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i[/tex]

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