simplify each expression. select the correct answer from the drop - down menu.\n-6(3i)(-2i)=\n2(3 - i)(-2 +…

Explanation:

Step1: Simplify -6(3i)(-2i)

First, multiply -6 and 3i: $-6\times3i=- 18i$. Then multiply -18i and -2i: $(-18i)\times(-2i)=36i^{2}$. Since $i^{2}=-1$, we have $36\times(-1)=-36$.

Step2: Simplify 2(3 - i)(-2 + 4i)

First, multiply (3 - i) and (-2 + 4i) using FOIL method: [ \begin{align*} (3 - i)(-2 + 4i)&=3\times(-2)+3\times4i+(-i)\times(-2)+(-i)\times4i\ &=-6 + 12i+2i-4i^{2}\ &=-6+14i - 4\times(-1)\ &=-6 + 14i+4\ &=-2+14i \end{align*} ] Then multiply the result by 2: $2(-2 + 14i)=-4+28i$.

Answer:

-6(3i)(-2i)= -36 2(3 - i)(-2 + 4i)= -4 + 28i