Answer
False. Change to
$\displaystyle \frac{3x^{2}+3}{3}=x^{2}+1$
Work Step by Step
The expression on the left has been (erroneously) reduced by 3,
but 3 is not a factor of the numerator.
The statement is false.
It would be true if the numerator on the LHS was $3(x^{2}+1)=3x^{2}+3$
