Solve 5m ^ 3 - 20m | 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

$$5m^{3}-20m$$

Factor

$5m\left(m-2\right)\left(m+2\right)$

Solution Steps

Factor out $5$.

$$5\left(m^{3}-4m\right)$$

Consider $m^{3}-4m$. Factor out $m$.

$$m\left(m^{2}-4\right)$$

Consider $m^{2}-4$. Rewrite $m^{2}-4$ as $m^{2}-2^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(m-2\right)\left(m+2\right)$$

Rewrite the complete factored expression.

$$5m\left(m-2\right)\left(m+2\right)$$

Evaluate

$5m\left(m^{2}-4\right)$