Simplify -8xi-3yi^3

$- 8 x i - 3 y i^{3}$

Factor out $i^{2}$ .

$- 8 x i - 3 y (i^{2} \cdot i)$

Rewrite $i^{2}$ as $- 1$ .

$- 8 x i - 3 y (- 1 \cdot i)$

Rewrite $- 1 i$ as $- i$ .

$- 8 x i - 3 y (- i)$

Multiply $- 1$ by $- 3$ .

$- 8 x i + 3 y i$

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