$$ 1 \leftarrow $$ Factor the expression completely or state that the polynomial is prime. $$ 5 x^{3}-5 x $$ Select the correct choice below and fill in any answer boxes within your choice. A. $$ 5 x^{3}-5 x=\square $$ (Factor completely.) B. The polynomial is prime.

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1. Factor out the greatest common factor (GCF):

$$
5x^3 - 5x = 5x(x^2 - 1)
$$

2. Recognize that $$x^2 - 1$$ is a difference of two squares:

$$
x^2 - 1 = (x - 1)(x + 1)
$$

3. Write the final factored form:

$$
5x^3 - 5x = 5x(x - 1)(x + 1)
$$

The expression factors completely as $$5x(x - 1)(x + 1)$$.
$$5x^3 - 5x = 5x(x - 1)(x + 1)$$

Factor the expression completely or state that the polynomial is prime.

Select the correct choice below and fill in any answer boxes within your choice.
A.
(Factor completely.)
B. The polynomial is prime.

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Factor the expression completely or state that the polynomial is prime. Select the correct choice below and fill in any answer boxes within your choice. A. (Factor completely.) B. The polynomial is prime.