multiply. -6i(4 + 6i) write your answer as a complex number in standard form.

Explanation:

Step1: Apply distributive property

$-6i(4 + 6i)=-6i\times4+(-6i)\times6i$

Step2: Calculate each product

$-6i\times4=-24i$ and $(-6i)\times6i=- 36i^{2}$. Since $i^{2}=-1$, then $-36i^{2}=-36\times(-1) = 36$.

Step3: Combine the results

$-24i + 36=36-24i$

Answer:

$36 - 24i$