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Answer :

Given:

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

To express the given product in standard form,

[tex]\begin{gathered} (1+3i)(5-i)=5-i+5(3i)-i(3i) \\ =5-i+15i-3(i^2) \\ =5+14i-3(-1) \\ =14i+8 \end{gathered}[/tex]

Answer:

[tex](1+3i)(5-i)=14i+8[/tex]