1-8x^-3/x^-1+2x^-2+4x^-3-এর সমাধান করুন

$$\frac { 1 - 8 x ^ { - 3 } } { x ^ { - 1 } + 2 x ^ { - 2 } + 4 x ^ { - 3 } }$$

Evaluate

$$x-2$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{-3}\left(x-2\right)\left(x^{2}+2x+4\right)}{x^{-2}\times \frac{1}{x}\left(x^{2}+2x+4\right)}$$

Cancel out x^{2}+2x+4 in both numerator and denominator.

$$\frac{x^{-3}\left(x-2\right)}{x^{-2}\times \frac{1}{x}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Expand the expression.

$$x-2$$

Expand

$$x-2$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{-3}\left(x-2\right)\left(x^{2}+2x+4\right)}{x^{-2}\times \frac{1}{x}\left(x^{2}+2x+4\right)}$$

Cancel out x^{2}+2x+4 in both numerator and denominator.

$$\frac{x^{-3}\left(x-2\right)}{x^{-2}\times \frac{1}{x}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Expand the expression.

$$x-2$$