Question

Apply the Distributive Property to show 4i[(3i)+(−5i−6)] in its simplest form.

Answer 1

Start inside the brackets:
3i + (−5i − 6) = 3i − 5i − 6 = −2i − 6.

Now distribute 4i:
4i(−2i − 6) = 4i(−2i) + 4i(−6) = −8i^2 − 24i.

Since i^2 = −1:
−8i^2 − 24i = −8(−1) − 24i = 8 − 24i.

Final answer: 8 − 24i.