Absolutely, let's simplify the given expression: -3*x^2 * (x^3 + 2*x - 5)
We'll start by expanding the terms inside the parentheses with the term outside, which is -3*x^2.
1. Multiply -3*x^2 and x^3. Changing the order makes it easier: x^3 * -3*x^2 becomes -3*x^5 because when multiplying same bases, we just add the exponents (2 and 3 in this case).
2. Next multiply -3*x^2 and 2*x. Again, order changing helps: 2*x * -3*x^2 becomes -6*x^3 because we added the exponents (1 and 2).
3. Finally multiply -3*x^2 and -5. This time, it's straightforward because -5 has no x term: -5 * -3*x^2 is 15*x^2
Now, let's collect all the terms together:
-3*x^5 - 6*x^3 + 15*x^2
So, the simplified form of the given expression is -3*x^5 - 6*x^3 + 15*x^2.