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Popular >

simplify (2-i)/(3-i)

Solution

simplify

\frac{2 - i}{3 - i}

Solution

\frac{7}{10} - \frac{1}{10} i

Solution steps

\frac{2 - i}{3 - i}

Multiply by the conjugate

\frac{3 + i}{3 + i}

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

Simplify

\frac{( 2 - i ) ( 3 + i )}{( 3 - i ) ( 3 + i )} : \frac{7 - i}{10}

= \frac{7 - i}{10}

Rewrite in standard complex form:

\frac{7}{10} - \frac{1}{10} i

= \frac{7}{10} - \frac{1}{10} i

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Frequently Asked Questions (FAQ)

What is (2-i)/(3-i) ?
The solution to (2-i)/(3-i) is 7/10-1/10 i