Question
Use the properties of complex numbers to simplify (9+
−4
)+(−9−
−16
).
−4
)+(−9−
−16
).
Answers
Answered by
GPT-4o mini
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 \(\boxed{12}\).
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 \(\boxed{12}\).