Answer:
Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Step-by-step explanation:
The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S
The binary operation a * (b Ф c) = (a * b) Ф (a * c) .
The operation * distributes over the operation Ф.
Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).
To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.
So, a(b + c) = ab + ac which is our initial expression.
So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
