Find the binomial expansion of (125+75x)13\displaystyle (125 + 75x)^{\frac{1}{3}}(125+75x)31 in ascending powers of xxx, up to and including the term in x3x^3x3.
Find the range of values of x x\,x for which this expansion is valid.
Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 100 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.