Questions: Write the expression in the standard form a + bi. (3-5 i)+(5+2 i) (3-5 i)+(5+2 i)= (Simplify your answer.)

Write the expression in the standard form a + bi. (3-5 i)+(5+2 i) (3-5 i)+(5+2 i)= (Simplify your answer.)
Transcript text: Write the expression in the standard form a + bi. \[ (3-5 i)+(5+2 i) \] $(3-5 i)+(5+2 i)=$ $\square$ (Simplify your answer.)
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Solution

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Solution Steps

Step 1: Identify the operation

The operation to perform is addition.

Step 2: Apply the formula based on the operation

Using the formula for addition: \((a_1 + b_1i) + (a_2 + b_2i) = (a_1 + a_2) + (b_1 + b_2)i\).

Step 3: Perform the calculation

Substitute the given values into the formula: \((3 - 5i) + (5 + 2i)\).

Step 4: Simplify the expression

Simplification leads to: \(8 - 3i\).

Final Answer:

The result of the operation in standard form is \(8 - 3i\).

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