Question

Use the distributive property to write each expression as an equivalent

algebraic expression.
-2(x-4)

Answer 1

the equivalent algebraic expression is -2x -8 after applying the distributive property.

Explanation:

The distributive property states that for any real numbers a, b, and c, a(b+c) = ab + ac.

To apply the distributive property to the expression -2(x-4), we can distribute the -2 across the parenthesis, like this:

-2(x-4) = -2x + (-2)(-4)

Simplifying the last part of the expression:

-2(x-4) = -2x -8

So, the equivalent algebraic expression is -2x -8 after applying the distributive property.