Find the coefficient of x5 x^5\,x5 in the expansion of (2+3x)7(2 + 3x)^7(2+3x)7.
Expand 1−2x \sqrt{1 - 2x}\,1−2x in ascending powers of x x\,x as far as the term in x3x^3x3.
State the range of values of x x\,x for which your expansion is valid.
Use your expansion, with x=0.01x = 0.01x=0.01, to find an estimate for 98 \sqrt{98}\,98 correct to five significant figures.
144 exam-style questions on AQA A Level Maths 1.7.1 Binomial expansion. Each one has a worked solution and a mark scheme showing where the marks go.