Question 985256
NOTE: Edited twice to explain better.


This is just a matter of terminology to justify why each step is made.  The properties are presented and clearly stated in your textbook.


{{{2+6(9-3^2)-2}}}, given.


{{{2+6(9-9)-2}}}, Order of Operations requires exponentiation first, depending on how quantities are associated - I know of no other law for this.


{{{2+6*0-2}}}, Additive Inverse Property; note that the operation inside the parentheses was done BEFORE the multiplication involving the 6; because or again, Order of Operations.  WORK inside parentheses FIRST, depending on presence or arrangements of any exponentiations.


{{{2+0-2}}}, law about multiplication by 0, product is zero - not sure if there is a better name.  (This is result of the principle of multiplication by zero; that for any real number <i>a</i> such that {{{a<>0}}}, {{{a*0=0}}}).


{{{2-2}}}, same as {{{2+(-2)}}}, meaning of subtraction


{{{2+(-2)=0}}}, Additive Inverse Property