Find ${\left(-1-i\right)}^2$ in two steps.

S1: Change all signs inside bracket.

S2: Apply formula

where $A=1$ and $B=i$.

Multiply $-4+i$ by $\frac{-5+3i}{2}$ to get $\frac{3i^2-17i+20}{2}$.

Step 1: Write $-4+i$ as a fraction by putting $1$ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

Combine like terms:

Combine like terms:

Add $\frac{3-i}{2}$ and $\frac{-17i+17}{2}$ to get $\frac{-18i+20}{2}$.

To add expressions with the same denominators, we add the numerators and write the result over the common denominator.