Solve (x)^(2)-12x+20/x-2 | 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

$${ x }^{ 2 } -12x+20/x-2$$

Evaluate

$x^{2}-12x-2+\frac{20}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x^{2}-12x-2$ times $\frac{x}{x}$.

$$\frac{\left(x^{2}-12x-2\right)x}{x}+\frac{20}{x}$$

Since $\frac{\left(x^{2}-12x-2\right)x}{x}$ and $\frac{20}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}-12x-2\right)x+20}{x}$$

Do the multiplications in $\left(x^{2}-12x-2\right)x+20$.

$$\frac{x^{3}-12x^{2}-2x+20}{x}$$

Factor

$\frac{x^{3}-12x^{2}-2x+20}{x}$