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