Solve 3y ^ 3 - 48y | 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

$$3y^{3}-48y.$$

Factor

$3y\left(y-4\right)\left(y+4\right)$

Solution Steps

Factor out $3$.

$$3\left(y^{3}-16y\right)$$

Consider $y^{3}-16y$. Factor out $y$.

$$y\left(y^{2}-16\right)$$

Consider $y^{2}-16$. Rewrite $y^{2}-16$ as $y^{2}-4^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(y-4\right)\left(y+4\right)$$

Rewrite the complete factored expression.

$$3y\left(y-4\right)\left(y+4\right)$$

Evaluate

$3y\left(y^{2}-16\right)$