What is ((56-8i))/((14+10i)) ?

The solution to ((56-8i))/((14+10i)) is 88/37-84/37 i

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simplify ((56-8i))/((14+10i))

simplify

\frac{( 56 - 8 i )}{( 14 + 10 i )}

\frac{88}{37} - \frac{84}{37} i

Solution steps

\frac{56 - 8 i}{14 + 10 i}

Multiply by the conjugate

\frac{14 - 10 i}{14 - 10 i}

= \frac{( 56 - 8 i ) ( 14 - 10 i )}{( 14 + 10 i ) ( 14 - 10 i )}

Simplify

\frac{( 56 - 8 i ) ( 14 - 10 i )}{( 14 + 10 i ) ( 14 - 10 i )} : \frac{704 - 672 i}{296}

= \frac{704 - 672 i}{296}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{704}{296} + \frac{- 672}{296} i

Simplify

\frac{704}{296} + \frac{- 672}{296} i : \frac{88}{37} - \frac{84}{37} i

= \frac{88}{37} - \frac{84}{37} i

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What is ((56-8i))/((14+10i)) ?
The solution to ((56-8i))/((14+10i)) is 88/37-84/37 i