nadiaejs00 nadiaejs00
  • 14-06-2017
  • Mathematics
contestada

Simplify the given expression below (7-3i) • (2-i)

Respuesta :

huvbugkvku
huvbugkvku huvbugkvku
  • 14-06-2017
Foil it, 7 x 2, -3i x -i, 7 x -i, and -3i x 2. It would come to 14+3 i^2-7i-6i. i^2=-1, so it would be 14-3=11 and -7i-6i=-13i

The answer is 11-13i
Answer Link
firestarangel26
firestarangel26 firestarangel26
  • 14-06-2017
(7−3i)(2−i)
Rule: 
[tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

The values of the letters: 
[tex]a=7,\:b=-3,\:c=2,\:d=-1[/tex]

Foil it: 
[tex]\left(7\cdot \:2-\left(-3\right)\left(-1\right)\right)+\left(7\left(-1\right)+\left(-3\right)\cdot \:2\right)i[/tex]

Final answer: [tex]11-13i[/tex]
Answer Link

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