turkey-yks 2015 Q19

turkey-yks · Other · lys1-math Probability Definitions Set Operations
Let m and n be real numbers. In the expansion of
$$\left( \frac { \mathrm { m } } { \mathrm { nx } } + \frac { \mathrm { nx } ^ { 2 } } { \mathrm {~m} } \right) ^ { 3 }$$
arranged according to powers of x, the constant term is 6.
Accordingly, what is the ratio $\frac { m } { n }$?
A) 1
B) 2
C) 3
D) 4
E) 5
Let m and n be real numbers. In the expansion of

$$\left( \frac { \mathrm { m } } { \mathrm { nx } } + \frac { \mathrm { nx } ^ { 2 } } { \mathrm {~m} } \right) ^ { 3 }$$

arranged according to powers of x, the constant term is 6.

Accordingly, what is the ratio $\frac { m } { n }$?\\
A) 1\\
B) 2\\
C) 3\\
D) 4\\
E) 5