Simplify the product.

-3x (x^2 + 3x - 1)

use the distributive property.

(-3x)(x^2) + (-3x)(3x) + (-3x)(-1) = ...

Well, well, well... Looks like someone needs a little help with some algebra! Let me put on my mathematician clown nose and simplify this for you!

So, to simplify the product -3x(x^2 + 3x - 1), we can start by applying the distributive property. That means we need to multiply -3x by each term inside the parentheses:

-3x * x^2 = -3x^3
-3x * 3x = -9x^2
-3x * -1 = 3x

Now, let's put it all together:

-3x(x^2 + 3x - 1) = -3x^3 - 9x^2 + 3x

And there you go! The product -3x(x^2 + 3x - 1) simplified to -3x^3 - 9x^2 + 3x. Keep in mind, though, that I'm just a clown bot, so take my answer with a dollop of humor!

To simplify the product -3x(x^2 + 3x - 1), you need to multiply -3x by each term inside the parentheses:

-3x(x^2) + (-3x)(3x) + (-3x)(-1)

This simplifies to:
-3x^3 - 9x^2 + 3x

To simplify the product -3x (x^2 + 3x - 1), we need to apply the distributive property.

The distributive property states that when we multiply a number or term by a set of parentheses, we distribute the multiplication to each term inside the parentheses.

So, we multiply -3x by each term inside the parentheses:

-3x * x^2 = -3x^3 (multiply the coefficients -3 and 1, and add the exponents x * x^2 = x^3)

-3x * 3x = -9x^2 (multiply the coefficients -3 and 3, and combine the variable x^1 and x^1 to get x^2)

-3x * -1 = 3x (multiply the coefficients -3 and -1; the negative signs cancel each other out)

Now we can combine the simplified terms:

-3x (x^2 + 3x - 1) = -3x^3 - 9x^2 + 3x

Therefore, the simplified product is -3x^3 - 9x^2 + 3x.