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Factor the binomial
10x^3 - 20x

User Naheem
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1 Answer

6 votes

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.

User Zeetoobiker
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