Question

1. simplify the expression below using the distributive property. -i(-11 + 9i) 9 - 11i -11 - 9i 9 + 11i -9 - 11i

Explanation:

Step1: Apply distributive property

$-i(-11 + 9i)=(-i)\times(-11)+(-i)\times(9i)$

Step2: Calculate each product

$(-i)\times(-11) = 11i$ and $(-i)\times(9i)=-9i^{2}$. Since $i^{2}=-1$, then $-9i^{2}=-9\times(-1) = 9$.

Step3: Combine results

$9 + 11i$

Answer:

C. $9 + 11i$