Questions: Write the expression in the standard form a+bi. (9+7 i)-(-5+i)

Transcript text: Write the expression in the standard form $a+b i$. \[ (9+7 i)-(-5+i) \]

Solution

Step 1: Remove the parentheses

Start by removing the parentheses in the expression: \[ (9 + 7i) - (-5 + i) \] This becomes: \[ 9 + 7i + 5 - i \]

Step 2: Combine like terms

Combine the real parts and the imaginary parts separately:

Step 3: Write the expression in standard form

Combine the results from Step 2 to write the expression in the standard form $a + bi$: \[ 14 + 6i \]

The correct answer is A. $14 + 6i$.

$\boxed{14 + 6i}$

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