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12-06-2018
Mathematics

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which expression is equivalent to (2-5i)(1+3i)-(10-4i)

Respuesta :

13-06-2018

[tex]i=\sqrt{-1}\to i^2=-1[/tex]

[tex](2-5i)(1+3i)-(10-4i)\\\\=(2)(1)+(2)(3i)-(5i)(1)-(5i)(3i)-10+4i\\\\=2+6i-5i-15i^2-10+4i\\\\=-8-(15)(-1)+5i\\\\=-8+15+5i\\\\=7+5i[/tex]

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