cheyannebear cheyannebear

20-01-2017
Mathematics

contestada

Simplify the given expression below:

(−5 + 3i) • (1 − 2i)

A.) −5 − 6i
B.) 1 + 13i
C.) 2 + i
D.) 4 − 5i

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SuperLegend SuperLegend

20-01-2017

(−5 + 3i) • (1 − 2i)

Multiply -5 by 1, then multiply -5 by -2i. After that multiply 3i by 1 and -2i.(FOIL).

-5+10i+3i-6i

Combine like terms

Final Answer: -5+7i

Answer Link

calculista calculista

06-01-2019

Answer:

The answer is the option B

[tex]1+13i[/tex]

Step-by-step explanation:

we have

[tex](-5 + 3i)*(1 - 2i)[/tex]

Multiply applying distributive property

[tex](-5 + 3i)*(1 - 2i)=-5*1+5*2i+3i*1-3i*2i[/tex]

[tex]=-5+10i+3i-6i^{2} \\=-5+13i-6(-1) \\=-5+13i+6 \\=1+13i[/tex]

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