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Question 20 of 41 Which of the following is the product of the complex numbers below? (7+41) (2-31) O A. 26-137 B. 2+297 C. 2-13; O D. 26+29;

Question 20 of 41 Which of the following is the product of the complex numbers below 741 231 O A 26137 B 2297 C 213 O D 2629 class=

Respuesta :

The given multiplication is:

[tex](7+4i)(2-3i)[/tex]

First, apply the distributive property:

[tex]\begin{gathered} =7\cdot2-7\cdot3i+4i\cdot2-4i\cdot3i \\ =14-21i+8i-12i^2 \\ =14-13i-12i^2 \end{gathered}[/tex]

i^2 is equal to -1, then:

[tex]\begin{gathered} =14-13i-12(-1) \\ =14-13i+12 \\ =26-13i \end{gathered}[/tex]

The answer is A. 26-13i

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