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Popular >

simplify (3i)/(4-2i)

Solution

simplify

\frac{3 i}{4 - 2 i}

Solution

- \frac{3}{10} + \frac{3}{5} i

Solution steps

\frac{3 i}{4 - 2 i}

Multiply by the conjugate

\frac{4 + 2 i}{4 + 2 i}

= \frac{3 i ( 4 + 2 i )}{( 4 - 2 i ) ( 4 + 2 i )}

Simplify

\frac{3 i ( 4 + 2 i )}{( 4 - 2 i ) ( 4 + 2 i )} : \frac{12 i - 6}{20}

= \frac{12 i - 6}{20}

Rewrite in standard complex form:

- \frac{3}{10} + \frac{3}{5} i

= - \frac{3}{10} + \frac{3}{5} i

Popular Examples

factor 1-x^4 factor

1 - x^{4}

\frac{4 - 6 x}{5} > 2

(2(x+6))/7 =3x-1

\frac{2 ( x + 6 )}{7} = 3 x - 1

(3z}{1-i}+\frac{2z)/i = 6/(4+i)

\frac{3 z}{1 - i} + \frac{2 z}{i} = \frac{6}{4 + i}

simplify (6n+6)/(n+9)*(n^2+6n-27)/(6n+6)simplify

\frac{6 n + 6}{n + 9} \cdot \frac{n ^{2} + 6 n - 27}{6 n + 6}

Frequently Asked Questions (FAQ)

What is (3i)/(4-2i) ?
The solution to (3i)/(4-2i) is -3/10+3/5 i