Solved: "Simplify the expression: 1−3+i"

Jaya Legge

Answered question

2021-09-07

Simplify the expression:

\frac{1}{- 3 + i}

tafzijdeq

Skilled2021-09-08Added 92 answers

The given expression:

\frac{1}{- 3 + i} = \frac{1 \times (- 3 - i)}{(- 3 + i) (- 3 - i)}

= \frac{- 3 - i}{{(- 3)}^{2} - {(i)}^{2}}

= \frac{- 3 - i}{9 - (- 1)}

= \frac{- 3 - i}{10}

= - (\frac{3}{10}) - (\frac{1}{10}) i

So, after simplifying, the answer looks like this:

\frac{1}{- 3 + i} = - (\frac{3}{10}) - (\frac{1}{10}) i

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