Binomial expansion for rational nAQA A-Level Maths: Mind map

Exam questions on Binomial expansion for rational n

1. The function $f(x)=(1+3x)^{-2}$ is expanded in ascending powers of $x$.
   Use the first three terms of the expansion, with a suitable value of $x$, to estimate $1.03^{-2}$.2 marks
2. Let $g(x)=\sqrt{4+x}$.
   Find the first three terms of the expansion of $g(x)$ in ascending powers of $x$.2 marks
3. Let $f(x)=\frac{1}{2+5x}$.
   Find the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^2$.3 marks