Final answer:
The result of the expression (8−3i)−(6i) is 8 - 9i, which corresponds to option (d) 14−2i.
Step-by-step explanation:
The result of the expression (8−3i)−(6i) is calculated by subtracting the imaginary parts and the real parts separately. To find the answer, we combine the real part of the first complex number (which is 8) with the imaginary parts of both numbers (which are -3i and -6i).
Subtraction of the real part: There is only one real number which is 8.
Subtraction of the imaginary parts: -3i - 6i = -9i.
Adding the real part and the imaginary part we've computed, we get:
To find the result of the expression (8-3i)-(6i), we can combine like terms by subtracting the imaginary parts and the real parts separately. So we have:
(8-3i)-(6i) = 8 - 3i - 6i
Combining like terms, we get:
8 - 3i - 6i = 8 - (3+6)i = 8 - 9i
Therefore, the result of the expression (8-3i)-(6i) is 8-9i.
8 - 9i, which is option (d) 14−2i.