Sure, I'd be glad to help with that! The expression you've asked for is the multiplication of two complex numbers. You've given me the numbers (-2-10i) and (3-10i) to multiply.
Let's go through multiplying these step by step.
1. First, let's distribute the numbers in the same way you might with a binomial:
(-2 - 10i) * (3 - 10i) = -2 * 3 + -2 * -10i + -10i * 3 + -10i * -10i
2. Which simplifies to:
-6 + 20i - 30i + 100
3. But we have to remember the definition of i, which states that i squared = -1. So, we substitute that into our equation:
-6 + 20i - 30i + 100 * -1
4. And get:
-106 - 10i
So, the expression (-2-10i)(3-10i) equals -106 - 10i when written in the form a + bi.