Respuesta :
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
The answer is 11-13i
(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]
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]