multiply $(-11 + 8i)(-1 - 8i)$. (1 point)

Explanation:

Step1: Use the FOIL method

$$ \begin{align*} (-11 + 8i)(-1 - 8i)&=(-11)\times(-1)+(-11)\times(-8i)+8i\times(-1)+8i\times(-8i)\ \end{align*} $$

Step2: Calculate each term

• First term: $(-11)\times(-1) = 11$
• Second term: $(-11)\times(-8i)=88i$
• Third term: $8i\times(-1)=-8i$
• Fourth term: $8i\times(-8i)=-64i^{2}$ Since $i^{2}=-1$, then $-64i^{2}=-64\times(-1) = 64$

Step3: Combine like - terms

$$ \begin{align*} &11+88i - 8i+64\ =&(11 + 64)+(88i-8i)\ =&75 + 80i \end{align*} $$

Answer:

$75 + 80i$