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Select the correct answer.

Write [tex]\( (9 + 6i) - (1 + 3i) \)[/tex] as a complex number in standard form.

A. [tex]\( 10 + 9i \)[/tex]
B. [tex]\( 8 - 3i \)[/tex]
C. [tex]\( 8 + 3i \)[/tex]
D. [tex]\( 7 - 12i \)[/tex]

Sagot :

GinnyAnswer
Let's solve the problem step by step.

We are given two complex numbers, [tex]\(9 + 6i\)[/tex] and [tex]\(1 + 3i\)[/tex], and we need to perform the subtraction operation on them:

[tex]\[ (9 + 6i) - (1 + 3i) \][/tex]

To subtract two complex numbers, we subtract the real parts and the imaginary parts separately.

1. Subtract the real parts:
[tex]\[ 9 - 1 = 8 \][/tex]

2. Subtract the imaginary parts:
[tex]\[ 6i - 3i = 3i \][/tex]

Thus, the result of the subtraction is:

[tex]\[ 8 + 3i \][/tex]

Therefore, the correct answer is:

C. [tex]\(8 + 3i\)[/tex]
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