Question : If $x^{2}+y^{2}+z^{2}=xy+yz+zx$, then the value of $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}$ is:

Question : If x + y = √3 and x – y = √2, the value of 8xy(x² + y²) is:

Question : What is the solution of the following equations?
2x + 3y = 12 and 3x – 2y = 5

Question : If x + y = 36, then find (x – 27)³ + (y – 9)³.

Question : If the HCF of xy³, x² y, and x³ y⁴ is xy, then their LCM is________.