Binomial expansion with reciprocals

Expand expressions of the form (x + k/x)^n where both x and 1/x terms appear in the binomial.

3 questions

OCR MEI C1 Q10
10 Find the binomial expansion of \(\left( x + \frac { 5 } { x } \right) ^ { 3 }\), simplifying the terms.
OCR C2 2007 June Q2
2 Expand \(\left( x + \frac { 2 } { x } \right) ^ { 4 }\) completely, simplifying the terms.
OCR MEI C1 2010 January Q8
8 Find the binomial expansion of \(\left( x + \frac { 5 } { x } \right) ^ { 3 }\), simplifying the terms.