Answer :
Yes, Heather is correct. The expressions are not equivalent
Solution:
Given that,
Heather says, the following expressions are not equivalent
[tex]4x - 2x + 8\ and\ 2(x-4)[/tex]
Because one expression has a term that is subtracted and the other does not
Combine the like terms in first expression:
[tex]4x - 2x + 8 = 2x +8[/tex]
Let us first expand the second expression
By distributive property
a(b + c) = ab + bc
Therefore,
[tex]2(x-4) = 2x - 8[/tex]
Thus the two expressions are:
[tex]2x + 8\ and\ 2x-8[/tex]
Yes both the expressions are not equivalent
Because, in first expression 2x is added to 8
But in second expression, 8 is subtracted from 2x
Thus heather is correct