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

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

Evalwa

$$\frac{1}{x+y}$$

Passi Qosra tas-Soluzzjonijiet

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

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

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}.

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

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

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

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

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

Annulla x-y fin-numeratur u d-denominatur.

$$\frac{1}{x+y}$$

Iddifferenzja w.r.t. x

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