Answer
a=$\frac{-24}{25}
b=\frac{32}{25}$
Work Step by Step
Multiply the top and bottom of the term by the conjugate of the denominator. Then combine like terms and divide to simplify. Make sure to change $i^2$ to $-1$.
$\frac{8i}{4-3i}$
$\frac{8i}{4-3i}(\frac{4+3i}{4+3i})$
$\frac{32i+24i^2}{4^2+3^2}$
$\frac{32i-24}{25}$
$\frac{-24}{25}+\frac{32}{25}i$
