Question

The number of distinct terms in the expansion of $(x+y^2{)}^{13}+(x^2+y{)}^{14}$ is _______..

Answer 1

Answer: 28

To get common terms in both the expamuen
$x^{r_1}(y^2{)}^{13-r_1}=(y{)}^{14-r_1}(x^2{)}^{r_2}$
$\therefore r_1=2r_2$ and $26-2r_1=14=r_2$
$\therefore r_1=8,r_2=4$
$\therefore$ Only one term ts common