Write the expression as a complex number in standard form.

(2-3i)-(6-5i)

gather like terms.

2-6 -3i+5i
-4+2i

To simplify the expression (2-3i) - (6-5i) and write it in standard form, we will combine the real parts separately and the imaginary parts separately.

Step 1: Combine the real parts (2 and 6):

2 - 6 = -4

Step 2: Combine the imaginary parts (-3i and -5i):

-3i - (-5i) = -3i + 5i = 2i

Step 3: Put the real and imaginary parts together to form the complex number:

-4 + 2i

Therefore, the expression (2-3i) - (6-5i) simplifies to -4 + 2i in standard form.