Lutasin ang x^2/y-1*x^2-2x+1/x^2-xdivx^3-x/(y-1)-x(1-y)

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

I-evaluate

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Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor sa \frac{x^{2}-2x+1}{x^{2}-x}.

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

I-cancel out ang x-1 sa parehong numerator at denominator.

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

I-multiply ang \frac{x^{2}}{y-1} sa \frac{x-1}{x} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

I-cancel out ang x sa parehong numerator at denominator.

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

I-factor ang mga expression na hindi pa na-factor sa \frac{x^{3}-x}{y-1-x\left(1-y\right)}.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{x\left(x-1\right)\left(x+1\right)}{\left(y-1\right)\left(x+1\right)}}$$

I-cancel out ang x+1 sa parehong numerator at denominator.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{x\left(x-1\right)}{y-1}}$$

I-divide ang \frac{x\left(x-1\right)}{y-1} gamit ang \frac{x\left(x-1\right)}{y-1} sa pamamagitan ng pagmu-multiply sa \frac{x\left(x-1\right)}{y-1} gamit ang reciprocal ng \frac{x\left(x-1\right)}{y-1}.

$$\frac{x\left(x-1\right)\left(y-1\right)}{\left(y-1\right)x\left(x-1\right)}$$

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

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I-factor

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