The expression x³ - x when factored out is x(x -1)(x + 1)
<h3>How to determine the factored expression?</h3>
From the question, we have the following expression that can be used in our computation:
X to the power of three - x
Express the expression properly
So, we have the following representation
x³ - x
The terms of the above expression are:
x³ and x
And the factor of x³ and x
Factor = x
So, we divide x³ and x by x
The results of these divisions are
x³/x = x²
x/x = 1
So, we have the following results
(x³ - x) = x(x² -1)
Express x² -1 as a difference of two squares
So, we have
(x³ - x) = x(x -1)(x + 1)
Hence, the factored expression is x(x -1)(x + 1)
Read more about expressions at
brainly.com/question/18631189
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