Multiply (x^10+3)(x^10-3)

The middle terms cancel each other out, leaving you with x^100 - 9.

x^20 - 9

To multiply the given expression (x^10 + 3)(x^10 - 3), we can use the distributive property.

Let's begin by multiplying the first terms of each expression:
x^10 * x^10 = (x^10)^2 = x^20

Now, let's multiply the outer terms:
x^10 * (-3) = -3x^10

Next, we'll multiply the inner terms:
3 * x^10 = 3x^10

Finally, let's multiply the last terms:
3 * (-3) = -9

Now, let's put all the terms together:
x^20 + (-3x^10) + (3x^10) + (-9)

Note that the two middle terms, -3x^10 and 3x^10, cancel each other out because they have the same magnitude but opposite signs. Therefore, they add up to zero.

Simplifying further, we get:
x^20 + (-9)

And simplifying the expression even more, we have:
x^20 - 9

So, the product of (x^10 + 3)(x^10 - 3) is x^20 - 9.