I believe that the answer to this question is -a+b, as an additive inverse is supposed to make the equation equal to zero when you add the inverse and its equation together. That means that when you add -a and a, you get zero, and -b and b is zero as well, so this would be the most logical explanation to your question.
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If that's a + b, the additive inverse is -a - b
Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.
Additive inverse: change all signs. Multiplicative inverse: flip it over.
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
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The additive inverse is the sum of two numbers that will equal zero. The additive inverse of -18 is 18.