Issolvi 2/x(x-1)-5/x^2(x-1)+3/(x-1)(x+1)

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x-1\right) u x^{2}\left(x-1\right) huwa \left(x-1\right)x^{2}. Immultiplika \frac{2}{x\left(x-1\right)} b'\frac{x}{x}.

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

Billi \frac{2x}{\left(x-1\right)x^{2}} u \frac{5}{\left(x-1\right)x^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x-1\right)x^{2} u \left(x-1\right)\left(x+1\right) huwa \left(x-1\right)\left(x+1\right)x^{2}. Immultiplika \frac{2x-5}{\left(x-1\right)x^{2}} b'\frac{x+1}{x+1}. Immultiplika \frac{3}{\left(x-1\right)\left(x+1\right)} b'\frac{x^{2}}{x^{2}}.

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

Billi \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} u \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi \left(2x-5\right)\left(x+1\right)+3x^{2}.

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

Ikkombina termini simili f'2x^{2}+2x-5x-5+3x^{2}.

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

Espandi \left(x-1\right)\left(x+1\right)x^{2}.

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x-1\right) u x^{2}\left(x-1\right) huwa \left(x-1\right)x^{2}. Immultiplika \frac{2}{x\left(x-1\right)} b'\frac{x}{x}.

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

Billi \frac{2x}{\left(x-1\right)x^{2}} u \frac{5}{\left(x-1\right)x^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x-1\right)x^{2} u \left(x-1\right)\left(x+1\right) huwa \left(x-1\right)\left(x+1\right)x^{2}. Immultiplika \frac{2x-5}{\left(x-1\right)x^{2}} b'\frac{x+1}{x+1}. Immultiplika \frac{3}{\left(x-1\right)\left(x+1\right)} b'\frac{x^{2}}{x^{2}}.

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

Billi \frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} u \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi \left(2x-5\right)\left(x+1\right)+3x^{2}.

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

Ikkombina termini simili f'2x^{2}+2x-5x-5+3x^{2}.

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

Espandi \left(x-1\right)\left(x+1\right)x^{2}.

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