Solve (x)^(3)-(1)/(4)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

$${ x }^{ 3 } - \frac{ 1 }{ 4 } x$$

Factor

$\frac{x\left(2x-1\right)\left(2x+1\right)}{4}$

Solution Steps

Factor out $\frac{1}{4}$.

$$\frac{4x^{3}-x}{4}$$

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

$$x\left(4x^{2}-1\right)$$

Consider $4x^{2}-1$. Rewrite $4x^{2}-1$ as $\left(2x\right)^{2}-1^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(2x-1\right)\left(2x+1\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(2x-1\right)\left(2x+1\right)}{4}$$

Evaluate

$x^{3}-\frac{x}{4}$