Multiply and simplify. \( (\sqrt{x}-2 \sqrt{5})^{2}=\square \)

To simplify \( (\sqrt{x}-2\sqrt{5})^{2} \), we can use the binomial expansion formula \( (a-b)^2 = a^2 - 2ab + b^2 \). Here, \( a = \sqrt{x} \) and \( b = 2\sqrt{5} \). Calculating each part: 1. \( a^2 = (\sqrt{x})^2 = x \) 2. \( b^2 = (2\sqrt{5})^2 = 4 \cdot 5 = 20 \) 3. \( -2ab = -2(\sqrt{x})(2\sqrt{5}) = -4\sqrt{5x} \) Now combine them: \[ (\sqrt{x}-2\sqrt{5})^{2} = x - 4\sqrt{5x} + 20 \] So, the expression simplifies to: \[ x - 4\sqrt{5x} + 20 = \square \]