Is there an associative property of subtraction? In other words, is
true for all real numbers A, B, C? Explain your answer. If the equation is always true, explain why; if the equation is not always true, find another expression that is equal to the expression
and explain why the two expressions are equal.
To find an expression that actually is equivalent, I offer a hint: Subtracting a quantity from another number is really the same as adding (-1) times that quantity. Rewrite your expression, and use the distributive property of multiplication over addition (i.e., ) to simplify.