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

$$(x^{3}+2x^{2}-x-2)\div x-1$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{x}{x}$.

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

Since $\frac{x^{3}+2x^{2}-x-2}{x}$ and $\frac{x}{x}$ have the same denominator, subtract them by subtracting their numerators.

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

Combine like terms in $x^{3}+2x^{2}-x-2-x$.

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

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{x}{x}$.

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

Since $\frac{x^{3}+2x^{2}-x-2}{x}$ and $\frac{x}{x}$ have the same denominator, subtract them by subtracting their numerators.

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

Combine like terms in $x^{3}+2x^{2}-x-2-x$.

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