To determine if Johnny's rewritten expression \( 2x^2 - (3x + 3) \) is equivalent to the original expression \( 2x^2 - 3x - 3 \), let's simplify the rewritten expression step by step.
Starting with the rewritten expression:
\[
2x^2 - (3x + 3)
\]
Distributing the negative sign gives us:
\[
2x^2 - 3x - 3
\]
Now we can see that this matches exactly with the original expression \( 2x^2 - 3x - 3 \).
Thus, the expressions are indeed equivalent.
The correct response would be:
**Yes, they are equivalent because if you distribute the negative sign, you get -3x and -3, which is the same as in the original expression.**