Simplify the expression $-2\sqrt{10} - 2\sqrt{15}$.

1. Problem Description

Simplify the expression $-2\sqrt{10} - 2\sqrt{15}$.

2. Solution Steps

The given expression is $-2\sqrt{10} - 2\sqrt{15}$.

We can factor out $-2$ from both terms:

$-2\sqrt{10} - 2\sqrt{15} = -2(\sqrt{10} + \sqrt{15})$

Now, we can try to simplify the terms inside the parentheses.

$\sqrt{10} = \sqrt{2 \cdot 5} = \sqrt{2} \cdot \sqrt{5}$

$\sqrt{15} = \sqrt{3 \cdot 5} = \sqrt{3} \cdot \sqrt{5}$

So we have:

$-2(\sqrt{2} \cdot \sqrt{5} + \sqrt{3} \cdot \sqrt{5})$

We can factor out $\sqrt{5}$:

$-2\sqrt{5}(\sqrt{2} + \sqrt{3})$

This is the simplest form.

3. Final Answer

$-2\sqrt{5}(\sqrt{2} + \sqrt{3})$