Question

write dawn and simplifiy all the terms in the expansion of (1+1/2X)6

Answer 1

(1 + x/2)^6 would be

6C0 1^6 (x/2)^0 + 6C1 1^5 (x/2)^1 + ... + 6C5 1^1 (x/2)^5 + 6C6 1^0 (x/2)^6
or,
1 + 6x/2 + 15x^2/4 + 20x^3/8 + 15x^4/16 + 6x^5/32 + x^6/64