Solve 3(m)^(3)-3m | 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

$$3 { m }^{ 3 } -3m$$

Factor

$3m\left(m-1\right)\left(m+1\right)$

Solution Steps

Factor out $3$.

$$3\left(m^{3}-m\right)$$

Consider $m^{3}-m$. Factor out $m$.

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

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

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

Rewrite the complete factored expression.

$$3m\left(m-1\right)\left(m+1\right)$$

Evaluate

$3m\left(m^{2}-1\right)$