Question

$$\left. \begin{array} { l } { x = \cos \alpha , y = \cos \beta - \operatorname { c o s t } x } \\ { x ^ { 2 } y ^ { 4 } - \frac { 1 } { 9 ^ { 2 } y ^ { 4 } } = ? } \end{array} \right.$$

Answer

$$484*y^4-23328*u$$

Solution


Simplify  \({22}^{2}\)  to  \(484\).
\[484{y}^{4}-{18}^{3}u\times 4\]
Simplify  \({18}^{3}\)  to  \(5832\).
\[484{y}^{4}-5832u\times 4\]
Simplify  \(5832u\times 4\)  to  \(23328u\).
\[484{y}^{4}-23328u\]