Final answer:
To simplify (7+2i)-(-12-4i), change the subtractions to additions and combine like terms to get the result in standard form, which is 19 + 6i.
Step-by-step explanation:
To simplify and write in standard form the expression (7+2i)-(-12-4i), you need to subtract each corresponding part of the complex numbers. To subtract a negative, you add its opposite. So the subtraction of -(-12) becomes an addition of +12, and -(-4i) becomes an addition of +4i. The simplified expression then becomes:
When you combine like terms, you get:
Therefore, the result in standard form is: 19 + 6i.