Lutasin ang (x^-4-x^2+x^-1):x^-1

$$( x ^ { - 4 } - x ^ { 2 } + x ^ { - 1 } ) : x ^ { - 1 }$$

I-evaluate

$$-\frac{\left(2x^{3}-1\right)^{2}-5}{4x^{3}}$$

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

$$\frac{-x^{-4}x\left(x^{3}-\left(-\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)\left(x^{3}-\left(\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)}{1}$$

Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.

$$\frac{-\left(x^{3}-\left(-\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)\left(x^{3}-\left(\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)}{x^{3}}$$

Palawakin ang expression.

$$\frac{-x^{6}+x^{3}+1}{x^{3}}$$

Palawakin

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

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

$$\frac{-x^{-4}x\left(x^{3}-\left(-\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)\left(x^{3}-\left(\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)}{1}$$

Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.

$$\frac{-\left(x^{3}-\left(-\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)\left(x^{3}-\left(\frac{1}{2}\sqrt{5}+\frac{1}{2}\right)\right)}{x^{3}}$$

Palawakin ang expression.

$$\frac{-x^{6}+x^{3}+1}{x^{3}}$$