
Suppose we have to find the (r+1)^{th} term in the expansion of (x+y)^{n} In its expansion we find that T_{3} = ^{n}C_{2} x^{n2}y^{2} T_{4} = ^{n}C_{3} x^{n3}y^{3} We can see that all these terms have the following properties.
T_{r+1} = ^{n}C_{r}x^{nr}y^{r}
Example: Find the tenth term in the expansion of (2xy)^{11}.
Directions: Answer the following. 