Question

Express the following expression in the form of a + bi : (16 + 6i) ((12 - 10i) - (2 - 5i))

Answer 1

Given:

There is an expression given as below

$\left(16+6i\right)(\left(12-10i\right)-(2-5i))$

Required:

We need to simplify the given expression and express in form of a+ib

Explanation:

$\begin{gathered} (16+6i)((12-10i)-(2-5i)) \\ =(16+6i)(12-10i-2+5i) \\ =(16+6i)(10-5i) \\ =160-80i+60i+30 \\ =190-20i \end{gathered}$

Final answer:

a + ib = 190 - 20i