Question

Simplify (−8–7i)(1+4i) + 3i using the order of operations and express it in the form of a + bi.

Answer 1

Explanation

Given

$\left(−8-7i\right)\left(1+4i\right)+3i$

We can simplify the expression as;

$\begin{gathered} \left(−8-7i\right)\left(1+4i\right)+3i \\ =-8(1+4\imaginaryI)-7i\left(1+4i\right)+3i \\ =-8-32i-7i+28+3i \\ =20-39i+3i \\ =20-36i \end{gathered}$

Answer: 20-36i