Additive inverse is the number that when added to a number yields 0.
This is the negation of that number or expression.
The additive inverse of [tex]7x^2 + y[/tex] is [tex]-(7x^2 + y)[/tex]
Distribute the negative sign across all the terms in the parentheses. This is the same thing as multiplying each term by -1.
[tex]-(7x^2 + y)[/tex]
[tex](-1 * 7x^2) + (-1 * y)[/tex]
[tex]-7x^2 - y[/tex]
