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91Ó°ÊÓ

Add or subtract as indicated and write the result in standard form. $$ (7+2 i)+(1-4 i) $$

Short Answer

Expert verified
The result in standard form is \(8 - 2i\).

Step by step solution

01

Identify real and imaginary parts

In the expression \( (7+2i) + (1-4i) \), the real parts are 7 and 1, and the imaginary parts represented by \(i\) are 2 and -4.
02

Add real parts

Add the real parts together: 7 + 1 = 8.
03

Add imaginary parts

Add the imaginary parts together: 2 + (-4) = -2.
04

Write the final result in standard form

Combine the results from Step 2 and Step 3 to write the result as a complex number in standard form: \( 8 - 2i \).

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