tell whether these two expressions are equivalent.
-2-6(x+4)-10 and -8(x+4)-10
To determine if the two expressions are equivalent, we can simplify both expressions and see if they are equal.
For the first expression:
-2 - 6(x + 4) - 10
Multiply -6 by each term inside the parentheses:
-2 - 6x - 24 - 10
Combine like terms:
-36 - 6x
For the second expression:
-8(x + 4) - 10
Distribute -8 to each term inside the parentheses:
-8x - 32 - 10
Combine like terms:
-42 - 8x
Since both simplified expressions are equal to -42 - 8x, we can conclude that the original expressions -2 - 6(x + 4) - 10 and -8(x + 4) - 10 are equivalent.