Subtract the following algebraic identities:$3 p^{2} q-3$ from $9 p^{2}-9 p^{2} q$.

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$3p^2q-3$

The given expressions are $3 p^{2} q-3$ and $9 p^{2}-9 p^{2} q$.

To do :

We have to subtract $3 p^{2} q-3$ from $9 p^{2}-9 p^{2} q$.

Solution :

$9 p^{2}-9 p^{2} q - (3 p^{2} q-3)= 9 p^{2}-9 p^{2} q -3 p^{2} q+3$

                                                        $= 9 p^{2} -12 p^{2} q+3$

Therefore, the resultant algebraic expression is $9 p^{2} -12 p^{2} q+3$.