Given that k k\,k is an integer, show that
18−k4−8=(32−12k)+(32−14k)2. \frac{\sqrt{18}-k}{4-\sqrt{8}}=\left(\frac{3}{2}-\frac{1}{2}k\right)+\left(\frac{3}{2}-\frac{1}{4}k\right)\sqrt{2}. 4−818−k=(23−21k)+(23−41k)2.233 exam-style questions on Edexcel A Level Maths Algebraic Expressions, covering 1.1 Index Laws, 1.2 Expanding Brackets, 1.3 Factorising, 1.4 Negative and Fractional Indices, and 1.5 Surds. Each one has a worked solution and a mark scheme showing where the marks go.