Question

$$y = 2 ^ { 2 m } - \sqrt { 5 } d = \frac { 2 x ^ { m } - 15 } { 2 ^ { 2 } + \sqrt { 5 } }$$

Evaluate

$y=4^{m}-\sqrt{5}d\text{ and }4^{m}-\sqrt{5}d=-\frac{\left(\sqrt{5}-4\right)\left(2x^{m}-15\right)}{11}$