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In Mathematics / High School | 2014-05-20

Which expression is equivalent to \((6 + 2i) - (4 + 3i)\)?

Asked by samfuhrman

Answer (2)

To find an equivalent expression to (6 + 2i) - (4 + 3i), we need to subtract the real parts and the imaginary parts separately.
While deducting complex numbers, we take away the genuine parts and the nonexistent parts independently.

Taking away the genuine parts:

6 - 4 = 2

Subtracting the fictitious components:

2i - 3i = - 1i or - I (since i² = - 1)
In rundown, the articulation comparable to (6 + 2i) - (4 + 3i) is 2 - I.
The real part is (6 - 4) = 2.
The imaginary part is (2i - 3i) = -i.
So, the equivalent expression is 2 - 1i.

Answered by qwfish | 2024-06-18

The expression equivalent to ( 6 + 2 i ) − ( 4 + 3 i ) is 2 − i . This is found by separately subtracting the real and imaginary parts. Therefore, the result combines to form the new expression.
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Answered by qwfish | 2024-10-11