Find the remainder when we divide $4 x^{2} - 25 y^{2} + 30 y - 9$ by $2 x + 5 y - 3$

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Solution

We divide $4 x^{2} - 25 y^{2} + 30 y - 9$ by $2 x + 5 y - 3$ as shown in the above image:

From the above division, we get that the quotient is $2 x - 5 y + 3$ and the remainder is $0$

Hence, the remainder is $0$ .

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