Answered

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Simplify (4+2i)(1+5i)

Sagot :

The simplyfied expression is: -6 + 22i

To multiply two complex numbers, we need to apply distributive propiertie with each term of each parentheses. In this case:

[tex]\mleft(4+2i\mright)\mleft(1+5i\mright)=4\cdot1+4\cdot5i+2i\cdot1+2i\cdot5i[/tex]

Now we can solve:

[tex]4+20i+2i+(2\cdot5)i^2[/tex]

i^2 is (-1). Then:

[tex]\begin{gathered} 4+22i+10(-1) \\ 4-10+22i \\ -6+22i \end{gathered}[/tex]

-6+22i is the simplified expression

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