Solve (x)^(3)-x | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ x }^{ 3 } -x$$

Factor

$x\left(x-1\right)\left(x+1\right)$

Solution Steps

Factor out $x$.

$$x\left(x^{2}-1\right)$$

Consider $x^{2}-1$. Rewrite $x^{2}-1$ as $x^{2}-1^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(x-1\right)\left(x+1\right)$$

Rewrite the complete factored expression.

$$x\left(x-1\right)\left(x+1\right)$$

Evaluate

$x\left(x^{2}-1\right)$