If a=12, b=6, c=-10, verify

1) Associative property under addition

2) Distributive of multiplication over subtraction

1) Associative property under addition: (a + b) + c = a + (b + c)

Substitute: (12 + 6) + - 10 = 12 + (6 + - 10)

Add (parentheses) : 18 - 10 = 12 + - 4

Add: 8 = 8

Therefore the associative property under addition is true

2) Distributive property of multiplication over subtraction: a (b - c) = ab - ac

Substitute: 12 (6 - - 10) = (12 * 6) - (12 * - 10)

Simplify: 12 (16) = (72) - (-120)

Simplify: 192 = 192

Therefore the distributive of multiplication over subtraction is true.