Question

Can someone please help me with number 14 real quick? I’m abt to head to sleep.

Answer 1

14) Given:

`(3i)(8-i)(4-6i)`

To simplify:

On simplification we get,

`(3i)(8-i)(4-6i)=(24i-3i^2)(4-6i)`

As we know,

`i^2=-1`

We get,

`\begin{gathered} =(24i-3(-1))(4-6i) \\ =(24i+3)(4-6i) \\ =96i-144i^2+12-18i \\ =96i+144+12-18i \\ =156+78i \end{gathered}`

Hence, the answer is,

`156+78i`