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question simplify the expression to a + bi form: (3 + i) - (7 - i)

Question

question
simplify the expression to a + bi form:
(3 + i) - (7 - i)

Explanation:

Step1: Distribute the negative sign

$(3 + i) - 7 + i$

Step2: Combine real parts

$3 - 7 = -4$

Step3: Combine imaginary parts

$i + i = 2i$

Step4: Write in $a+bi$ form

$-4 + 2i$

Answer:

$-4 + 2i$