Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).
Which of the following binary operations is not commutative?
Express \(\frac{2}{3 - \sqrt{7}} \text{ in the form} a + \sqrt{b}\), where a and b are integers.
The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is a constant. Find \(\alpha^{2} + \beta^{2}\) in terms of m.
Given that \(2^{x} = 0.125\), find the value of x.
