What is ((2+3i)(3+2i))/(4-3i) ?

The solution to ((2+3i)(3+2i))/(4-3i) is -39/25+52/25 i

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

simplify

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

- \frac{39}{25} + \frac{52}{25} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 + 3 i ) ( 3 + 2 i ) ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )} : \frac{- 39 + 52 i}{25}

= \frac{- 39 + 52 i}{25}

Rewrite in standard complex form:

- \frac{39}{25} + \frac{52}{25} i

= - \frac{39}{25} + \frac{52}{25} i

(w - p) (3 p + w)

\frac{1 - x ^{2}}{1 - x ^{2}}

5 x^{2} + x^{2}

x^{2} y + y^{2}

- (- 9)^{2}

What is ((2+3i)(3+2i))/(4-3i) ?
The solution to ((2+3i)(3+2i))/(4-3i) is -39/25+52/25 i