Question

Subtract the following complex numbers: (3 3i) - (13 15i) a. 10 - 12i

b. -10 - 12i
c. -10 18i
d. 10 18i

Answer 1

The subtraction of the complex numbers (3 + 3i) and (13 + 15i) yields -10 - 12i, which corresponds to option b.

Step-by-step explanation:

The question asks to subtract two complex numbers: (3 + 3i) and (13 + 15i). To subtract complex numbers, you subtract the real parts from each other and the imaginary parts from each other.

Subtract the real parts: 3 - 13 = -10

Subtract the imaginary parts: 3i - 15i = -12i

So, the result of the subtraction is -10 - 12i, which matches option b.

Answer 2

Subtraction of the complex numbers (3+3i) − (13+15i) is −10−12i.

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

To subtract the complex numbers (3+3i) − (13+15i), we subtract the real parts and the imaginary parts separately:

Real Part Subtraction:

Real part: 3−13=−10

Imaginary Part Subtraction:

Imaginary part: 3i−15i=−12i

Combining the real and imaginary parts, we get:

Putting the results together, we get (−10) + (−12i) = −10−12i

So, the result of the subtraction is −10−12i. This means that −10 is the real part, and −12i is the imaginary part of the result, which corresponds to option (b) −10−12i.

Question:

Subtract the following complex numbers: (3 3i) - (13 15i) .

a. 10 - 12i

b. -10 - 12i

c. -10 18i

d. 10 18i