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.