Final answer:
To add the complex numbers (1-4i) and (3-6i), you simply add the real parts and the imaginary parts separately to get the sum in standard form, which is 4 - 10i.
Step-by-step explanation:
To add the complex numbers (1-4i) and (3-6i) and write the answer in standard form, you combine like terms. The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.
First, add the real parts: 1 + 3 = 4.
Next, add the imaginary parts: (-4i) + (-6i) = -10i.
Combine these sums to get the complex number in standard form: 4 - 10i.