What is ((3+4i)(1+i))/(3-4i) ?

The solution to ((3+4i)(1+i))/(3-4i) is -31/25+17/25 i

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simplify ((3+4i)(1+i))/(3-4i)

simplify

\frac{( 3 + 4 i ) ( 1 + i )}{3 - 4 i}

- \frac{31}{25} + \frac{17}{25} i

Solution steps

\frac{( 3 + 4 i ) ( 1 + i )}{3 - 4 i}

Multiply by the conjugate

\frac{3 + 4 i}{3 + 4 i}

= \frac{( 3 + 4 i ) ( 1 + i ) ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )}

Simplify

\frac{( 3 + 4 i ) ( 1 + i ) ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )} : \frac{17 i - 31}{25}

= \frac{17 i - 31}{25}

Rewrite in standard complex form:

- \frac{31}{25} + \frac{17}{25} i

= - \frac{31}{25} + \frac{17}{25} i

7 x \cdot x

360

6 \cdot (- 12)

(2 x + 3) (2 x - 3) - (x - 3) 2 + 5 x + 18

y^{3} (a - b) - 8 (b - a)

What is ((3+4i)(1+i))/(3-4i) ?
The solution to ((3+4i)(1+i))/(3-4i) is -31/25+17/25 i