To multiply complex numbers, you can use the distributive property, also known as the FOIL method in this case. FOIL stands for First, Outer, Inner, Last.

First, multiply the first terms in each binomial:
(7)(2) = 14

Next, multiply the outer terms in the product:
(7)(3i) = 21i

Then, multiply the inner terms:
(2i)(2) = 4i

Finally, multiply the last terms:
(2i)(3i) = 6i^2

Remember that i^2 = -1, so you can simplify 6i^2 to -6.

Now, add all these results together:
14 + 21i + 4i - 6 = 8 + 25i

So, the product of (7 + 2i)(2 + 3i) is 8 + 25i. The correct answer is C. 8 + 25i.

Question

To multiply complex numbers, you can use the distributive property, also known as the FOIL method in this case. FOIL stands for First, Outer, Inner, Last.

First, multiply the first terms in each binomial:
(7)(2) = 14

Next, multiply the outer terms in the product:
(7)(3i) = 21i

Then, multiply the inner terms:
(2i)(2) = 4i

Finally, multiply the last terms:
(2i)(3i) = 6i^2

Remember that i^2 = -1, so you can simplify 6i^2 to -6.

Now, add all these results together:
14 + 21i + 4i - 6 = 8 + 25i

So, the product of (7 + 2i)(2 + 3i) is 8 + 25i. The correct answer is C. 8 + 25i.

Knowee AI · Accepted Answer

To multiply complex numbers, you can use the distributive property, also known as the FOIL method in this case. FOIL stands for First, Outer, Inner, Last.

First, multiply the first terms in each binomial:
(7)(2) = 14

Next, multiply the outer terms in the product:
(7)(3i) = 21i

Then, multiply the inner terms:
(2i)(2) = 4i

Finally, multiply the last terms:
(2i)(3i) = 6i^2

Remember that i^2 = -1, so you can simplify 6i^2 to -6.

Now, add all these results together:
14 + 21i + 4i - 6 = 8 + 25i

So, the product of (7 + 2i)(2 + 3i) is 8 + 25i. The correct answer is C. 8 + 25i.

Multiply the following complex numbers:(7 + 2i)(2 + 3i)A.8 - 25iB.20 - 25iC.8 + 25iD.20 + 25iSUBMITarrow_backPREVIOUS

Question

Multiply the following complex numbers:

Solution

Similar Questions

Upgrade your grade with Knowee