Use the information provided to write the general conic form equation of each ellipse.\frac{x^2}{36}+\frac{y^2}{81}=1

Use the information provided to write the general conic form equation of each ellipse.
$$\displaystyle{\frac{{{x}^{{2}}}}{{{36}}}}+{\frac{{{y}^{{2}}}}{{{81}}}}={1}$$

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Step 1

$$\frac{x^2}{36}+\frac{y^2}{81}=1$$

$$\frac{81x^2+36y^2}{36+81}=1$$

$$81x^2+36y^2=2916$$

$$9 (9x^2+4y^2)=9 \times 324$$

$$\therefore 9x^2+4y^2-324=0$$