I'm stuck on this question regarding Binomial series and cannot get this into the form $(1+x)^n$.
Question is:
$50x(25+x)^{1/2}$
Teacher suggested expanding brackets but this breaks the laws of maths. I couldn't find a single example either in my textbook or on the internet to explain how to eliminate the $x$ term outside of brackets. Also it has to be done without a calculator, so expanding out ridiculous numbers is impossible. Any help would be fantastic.
Cheers
Realised the simple answer is to apply BOMDAS. The 50x is simply taken out of the equation until the power function is solved.
50x(25+x)^1/2 becomes
=(50(25(1+x)^1/2))
= (50(5(1+x)^1/2)
Solve 5(1+x)^1/2 in binomial series then multiple the binomial answer by 50x.