Solve y ^ { 3 } - y | 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

$$y ^ { 3 } - y$$

Factor

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

Solution Steps

Factor out $y$.

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

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

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

Rewrite the complete factored expression.

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

Evaluate

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