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.