Answer:
10x(x^2 - 2)
Explanation:
We can factor out the greatest common factor of the terms in the binomial, which is 10x:
10x(x^2 - 2)
Therefore, the factored form of the binomial 10x^3 - 20x is:
10x(x^2 - 2)
I can check this.
To do so, we can use the distributive property to expand the factored form and see if it matches the original binomial:
10x(x^2 - 2) = 10x * x^2 - 10x * 2
= 10x^3 - 20x
As you can see, expanding the factored form using the distributive property gives us the original binomial, which confirms that the factored form is correct.