Solve (x+1)/(3(x)^(3)-(x)^(2)-3x+1) | 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

$$\frac{ x+1 }{ 3 { x }^{ 3 } - { x }^{ 2 } -3x+1 }$$

Evaluate

$\frac{1}{\left(x-1\right)\left(3x-1\right)}$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x+1}{\left(x-1\right)\left(3x-1\right)\left(x+1\right)}$$

Cancel out $x+1$ in both numerator and denominator.

$$\frac{1}{\left(x-1\right)\left(3x-1\right)}$$

Expand the expression.

$$\frac{1}{3x^{2}-4x+1}$$

Expand

$\frac{1}{3x^{2}-4x+1}$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x+1}{\left(x-1\right)\left(3x-1\right)\left(x+1\right)}$$

Cancel out $x+1$ in both numerator and denominator.

$$\frac{1}{\left(x-1\right)\left(3x-1\right)}$$

Expand the expression.

$$\frac{1}{3x^{2}-4x+1}$$