Lutasin ang x^3+x^2-5x+3/x^4+x^3-2{x^2+9x-9}

$$\frac{ { x }^{ 3 } + { x }^{ 2 } -5x+3 }{ { x }^{ 4 } + { x }^{ 3 } -2 { x }^{ 2 } +9x-9 }$$

I-evaluate

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

Maiikling Hakbang sa Solution

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

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

I-cancel out ang \left(x-1\right)\left(x+3\right) sa parehong numerator at denominator.

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

Palawakin

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

Maiikling Hakbang sa Solution

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

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

I-cancel out ang \left(x-1\right)\left(x+3\right) sa parehong numerator at denominator.

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