To multiply complex numbers, we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
7 * 8 = 56

Next, we multiply the outer terms:
7 * 4i = 28i

Then, we multiply the inner terms:
-3i * 8 = -24i

Finally, we multiply the last terms:
-3i * 4i = -12i^2

Now, we combine like terms and remember that i^2 = -1:
56 + 28i - 24i -12(-1) = 56 + 4i + 12 = 68 + 4i

So, the answer is C. 68 + 4i.

Question

To multiply complex numbers, we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
7 * 8 = 56

Next, we multiply the outer terms:
7 * 4i = 28i

Then, we multiply the inner terms:
-3i * 8 = -24i

Finally, we multiply the last terms:
-3i * 4i = -12i^2

Now, we combine like terms and remember that i^2 = -1:
56 + 28i - 24i -12(-1) = 56 + 4i + 12 = 68 + 4i

So, the answer is C. 68 + 4i.

Knowee AI · Accepted Answer

To multiply complex numbers, we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
7 * 8 = 56

Next, we multiply the outer terms:
7 * 4i = 28i

Then, we multiply the inner terms:
-3i * 8 = -24i

Finally, we multiply the last terms:
-3i * 4i = -12i^2

Now, we combine like terms and remember that i^2 = -1:
56 + 28i - 24i -12(-1) = 56 + 4i + 12 = 68 + 4i

So, the answer is C. 68 + 4i.

Multiply the following complex numbers:(7 - 3i)(8 + 4i)A.44 + 4iB.68 - 4iC.68 + 4iD.44 - 4iSUBMITarrow_backPREVIOUS