how do you factor 5h^3-20h?

its pretty simple. the answer is
5h(h+2)(h-2). you find it by first taking out 5h and you end up with
(x^2-4) left which factors out.

To factor the expression 5h^3 - 20h, you can use the factoring method known as factoring by grouping. Here's how you can do it:

Step 1: Look for a common factor.
In this case, both terms have a common factor of 5h. So, you can factor out 5h from both terms:

5h(h^2 - 4)

Step 2: Recognize the difference of squares pattern.
Now, you have the expression (h^2 - 4) remaining. You can see that it follows the difference of squares pattern (a^2 - b^2 = (a + b)(a - b)), where a = h and b = 2.

Step 3: Apply the difference of squares pattern.
Using the difference of squares pattern, you can factor h^2 - 4 as (h + 2)(h - 2). Therefore, the fully factored expression is:

5h(h + 2)(h - 2)

So, the answer is 5h(h + 2)(h - 2).