Issolvi 1/2-y+1/y

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

Ikkombina termini simili f'y-y+2.

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

Espandi y\left(-y+2\right).

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

Iddifferenzja w.r.t. y

$$\frac{4\left(1-y\right)}{\left(2-y\right)\left(y-2\right)y^{2}}$$