Question

What algebraic property is demonstrated in the equation below? 5 (8x-4)-10=40x-20-10

Answer 1

For this case we have the following equation:

`5 (8x-4) -10 = 40x-20-10`

By definition, we have that distributive property states that:

`a (b + c) = ab + ac`

Applying the property to the left side of the equation we have:
`5 * 8x-5 * 4-10 = 40x-20-10\\40x-20-10 = 40x-20-10`

Thus, in the given expression the distributive property is demonstrated.

Answer:

In the expression given, distributive property is demonstrated.