Can someone help me with the following please

Question

What property is the following:

a(b + 0) additive inverse property - this was confirmed from previous equation

= a x b + a x 0 Distributive. (I think)

= a x b + 0. Multiplication property of zero (I think)

= a x b. Additive identity property

Thank you

Answer 1

your steps and properties look good.

Not sure about your initial mention of additive inverse. That appears nowhere here.

a + (-a) = 0
uses additive inverse