subtract these two complex numbers. We have three minus four I minus one minus four I and when you're adding, subtracting complex numbers is very much like adding like terms, and we're kind of almost treating your eyes as a variable versus just the square root of negative one. So let's combine their numbers that don't have the eye with, um so that would be three minus one. Because we have a minus. In between them, we'll add that to negative four, minus negative four. And both of those are the terms with the I. So let's simplify that some. So that's negative. Three minus one plus negative. Four plus four I well, three minus one is to, and negative four plus four is zero I. So it's two plus zero I and this is the same as with any number. Even though we know that I is the square of negative one is still being multiplied Times zero, and that rule still applies any number. Any number times zero is still zero. So our solution is actually to

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subtract these two complex numbers. We have three minus four I minus one minus four I and when you're adding, subtracting complex numbers is very much like adding like terms, and we're kind of almost treating your eyes as a variable versus just the square root of negative one. So let's combine their numbers that don't have the eye with, um so that would be three minus one. Because we have a minus. In between them, we'll add that to negative four, minus negative four. And both of those are the terms with the I. So let's simplify that some. So that's negative. Three minus one plus negative. Four plus four I well, three minus one is to, and negative four plus four is zero I. So it's two plus zero I and this is the same as with any number. Even though we know that I is the square of negative one is still being multiplied Times zero, and that rule still applies any number. Any number times zero is still zero. So our solution is actually to

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