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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 28
To get common terms in both the expansions
$x^{r_{1}} {(y^{2})}^{13 - r_{1}} = (x^{2})^{r_{2}} (y)^{14 - r_{2}}$
$r_{1} = 2 r_{2}$ & $26 - 2 r_{1} = 14 - r_{2}$
$r_{1} = 8; r_{2} = 4$
$∴$ Only one term is common.

Suggest Corrections

Similar questions

(x + y^{2})^{13} + (x^{2} + y)^{14}

{(x + \frac{1}{x} + x^{2} + \frac{1}{x^{2}})}^{13}

{(x_{1} + x_{2} + . . . . . . + x_{n})}^{3}

{(x + y - z)}^{16}

{(x + \frac{1}{x} + x^{2} + \frac{1}{x^{2}})}^{15}

x

Join BYJU'S Learning Program