Issolvi 1/x-y+2x-y/x^2-y^2

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

Evalwa

$$\frac{3x}{x^{2}-y^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}-y^{2}.

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

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

$$\frac{x+y}{\left(x+y\right)\left(x-y\right)}+\frac{2x-y}{\left(x+y\right)\left(x-y\right)}$$

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

$$\frac{x+y+2x-y}{\left(x+y\right)\left(x-y\right)}$$

Ikkombina termini simili f'x+y+2x-y.

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

Espandi \left(x+y\right)\left(x-y\right).

$$\frac{3x}{x^{2}-y^{2}}$$

Espandi

$$\frac{3x}{x^{2}-y^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}-y^{2}.

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

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

$$\frac{x+y}{\left(x+y\right)\left(x-y\right)}+\frac{2x-y}{\left(x+y\right)\left(x-y\right)}$$

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

$$\frac{x+y+2x-y}{\left(x+y\right)\left(x-y\right)}$$

Ikkombina termini simili f'x+y+2x-y.

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

Espandi \left(x+y\right)\left(x-y\right).

$$\frac{3x}{x^{2}-y^{2}}$$