Simplify each of the following, giving your answer in the form a+bi, where a,b,ez:
(3+4i)-(-6+5i)
To simplify this expression, we distribute the negative sign inside the parentheses and combine like terms. This gives us:
(3 + 4i) - (-6 + 5i)
= 3 + 4i + 6 - 5i
= (3 + 6) + (4i - 5i)
= 9 - i
Therefore, the simplified form of (3+4i)-(-6+5i) is 9 - i.