Answer:
The properties that have been used are the;
commutative property of addition
commutative property of multiplication
Step-by-step explanation:
The commutative property of addition can be stated algebraically as follows;
a + b = b + a
where a and b are any real numbers
On the other hand, the commutative property of multiplication can be stated algebraically as follows;
a * b = b * a
where a and b are any real numbers
If we let 18 - 5 = a, 432 = m and 15 = n, then we have;
a + (m * n)
Using the commutative property of addition, the expression can be written as;
(m * n) + a
Using the commutative property of multiplication, the term in brackets can be written as;
(m * n) = (n * m)
Combining the two properties we find that;
a + (m * n) = (m * n) + a = (n * m) + a
Therefore, (18 - 5) + (432 x 15) = (15 x 432) + (18 - 5)