By what property are x+3 (7-x) and x+21-3x equivalent

The given expressions x+3 (7-x) and x+21-3x are equivalent by using the distributive property

Step-by-step explanation:

Given expressions are x+3 (7-x) and x+21-3x and also given that they are equivalent

To find for what property the given two expressions are equivalent:

x+3 (7-x) = x+3 (7) + 3 (-x)

=x+21-3x (here we are using the distributive property a (x+y) = ax+ay)

Therefore the given expressions x+3 (7-x) and x+21-3x are equivalent by using the distributive property