Use the properties of complex numbers to simplify (9+

Question

−4
​
)+(−9−
−16
​
).

Answer 1

To simplify the expression \((9 + -4) + (-9 - -16)\), we can first perform the calculations inside the parentheses.

1. Simplify \(9 + -4\): \[ 9 + -4 = 9 - 4 = 5. \]

2. Simplify \(-9 - -16\): \[ -9 - -16 = -9 + 16 = 7. \]

Now we can substitute these results back into the expression: \[ 5 + 7. \]

3. Now calculate: \[ 5 + 7 = 12. \]

Thus, the simplified expression is \(\boxed{12}\).