The expansion of 1−4x \sqrt{1 - 4x}\,1−4x as far as the term x3 x^3\,x3 is 1−2x−2x2−4x31 - 2x - 2x^2 - 4x^31−2x−2x2−4x3.
Use your expansion to find an estimate for 96\sqrt{96}96, correct to five decimal places, and compare this with the value of 96 \sqrt{96}\,96 given by your calculator.
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.