Solution:

Given expression is Xa–b × xb–c × xc–a.

To solve this expression, we use the rule of exponents which states that xa ÷ xb = xa-b.

We can rewrite the given expression as Xa–b × xb–c × xc–a = Xa–b+c × xb–c+a × xc–a+b.

Now, we can use the commutative property of multiplication which states that changing the order of factors does not change their product.

Therefore, Xa–b+c × xb–c+a × xc–a+b = Xc–a+b × Xa–b+c × Xb–c+a.

We can now use the associative property of multiplication which states that changing the grouping of factors does not change their product.

Therefore, Xc–a+b × Xa–b+c × Xb–c+a = Xa+b+c – (a+b+c) × Xa+b+c – (a+b+c) × Xa+b+c – (a+b+c).

Hence, the final expression is Xa–b × xb–c × xc–a = Xa+b+c – (a+b+c).

Answer: Xa–b × xb–c × xc–a = Xa+b+c – (a+b+c).