Show that the first three terms of the expansion of (16+4x)−12\displaystyle (16 + 4x)^{-\frac{1}{2}}(16+4x)−21 in ascending powers of x x\,x are 14−132x+3512x2\displaystyle \frac{1}{4} - \frac{1}{32}x + \frac{3}{512}x^241−321x+5123x2.
Given that a=16a=16a=16 and b=6b=6b=6, find the first two terms of the expansion of a+bx16+4x\displaystyle \frac{a + bx}{\sqrt{16 + 4x}}16+4xa+bx.
409 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.