How do you simplify $\frac{-3i}{5+4i}$ ?

Natasha Gill
2022-01-31
Answered

How do you simplify $\frac{-3i}{5+4i}$ ?

You can still ask an expert for help

Eliza Norris

Answered 2022-02-01
Author has **15** answers

Given: $\frac{-3i}{5+4i}$

Multiply by 1 in the form of$\frac{5-4i}{5-4i}$ giving:

$\frac{(-3i)(5-4i)}{(5+4i)(5-4i)}$

$\frac{-15i+12{i}^{2}}{(25-20i+20i-16{i}^{2})}$

But${i}^{2}=-1$ giving:

$\frac{-12-15i}{25+16}$

Therefore,$\frac{-12-15i}{41}$

Multiply by 1 in the form of

But

Therefore,

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