The number of terms in the expansion of $\left\{ ( \sqrt {2}x +\sqrt {3} y)^{10} - ( \sqrt {2} x - \sqrt {3} y)^{10} \right\}$ is-

Step 1: Find number of terms of expansion

Given equation is $-\left\{(\sqrt{2} x+\sqrt{3} y)^{10}-(\sqrt{2} x-\sqrt{3} y)^{10}\right\}$

We know that for expansion of $(\mathrm{x}+\mathrm{y})^{n}-(\mathrm{x}-\mathrm{y})^{n}$

$\Rightarrow$ If $\mathrm{n}$ is even then, Number of terms $=\frac{n}{2}$

Comparing with standard equation, $\mathrm{n}=10$

$\therefore$ Number of terms $=\frac{10}{2}$

$\begin{array}{l} =\frac{10}{2} \\ =5 \end{array}$

Therefore, the expansion of $\left\{(\sqrt{2} x+\sqrt{3} y)^{10}-(\sqrt{2} x-\sqrt{3} y)^{10}\right\}$ has 5 terms.