Verify that the first three terms in the binomial expansion of (1+3x)12\displaystyle (1 + 3x)^{\frac{1}{2}}(1+3x)21 are 1+32x−98x2\displaystyle 1 + \frac{3}{2}x - \frac{9}{8}x^21+23x−89x2
Verify that the expansion is valid for ∣x∣<13\displaystyle |x| < \frac{1}{3}∣x∣<31
408 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.