Final answer:
The final result is 2 - 12i.
Step-by-step explanation:
To solve the expression (-6+4)(-1+6i), we need to apply the distributive property, also known as the FOIL method for binomials. We multiply each term in the first binomial by each term in the second binomial.
- Multiply (-6) by (-1) to get +6.
- Multiply (-6) by (6i) to get -36i.
- Multiply (4) by (-1) to get -4.
- Multiply (4) by (6i) to get 24i.
Next, combine like terms, -36i and 24i, to get -12i. The final result is 2 - 12i.