Issolvi y/y+7-y/y-7/frac{y{y+7}+y/y-7}

$$\frac { \frac { y } { y + 7 } - \frac { y } { y - 7 } } { \frac { y } { y + 7 } + \frac { y } { y - 7 } }$$

Evalwa

$$-\frac{7}{y}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y+7 u y-7 huwa \left(y-7\right)\left(y+7\right). Immultiplika \frac{y}{y+7} b'\frac{y-7}{y-7}. Immultiplika \frac{y}{y-7} b'\frac{y+7}{y+7}.

$$\frac{\frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)}-\frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Billi \frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)} u \frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{y\left(y-7\right)-y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Agħmel il-multiplikazzjonijiet fi y\left(y-7\right)-y\left(y+7\right).

$$\frac{\frac{y^{2}-7y-y^{2}-7y}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Ikkombina termini simili f'y^{2}-7y-y^{2}-7y.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y+7 u y-7 huwa \left(y-7\right)\left(y+7\right). Immultiplika \frac{y}{y+7} b'\frac{y-7}{y-7}. Immultiplika \frac{y}{y-7} b'\frac{y+7}{y+7}.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)}+\frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}$$

Billi \frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)} u \frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y\left(y-7\right)+y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}$$

Agħmel il-multiplikazzjonijiet fi y\left(y-7\right)+y\left(y+7\right).

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y^{2}-7y+y^{2}+7y}{\left(y-7\right)\left(y+7\right)}}$$

Ikkombina termini simili f'y^{2}-7y+y^{2}+7y.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{2y^{2}}{\left(y-7\right)\left(y+7\right)}}$$

Iddividi \frac{-14y}{\left(y-7\right)\left(y+7\right)} b'\frac{2y^{2}}{\left(y-7\right)\left(y+7\right)} billi timmultiplika \frac{-14y}{\left(y-7\right)\left(y+7\right)} bir-reċiproku ta' \frac{2y^{2}}{\left(y-7\right)\left(y+7\right)}.

$$\frac{-14y\left(y-7\right)\left(y+7\right)}{\left(y-7\right)\left(y+7\right)\times 2y^{2}}$$

Annulla 2y\left(y-7\right)\left(y+7\right) fin-numeratur u d-denominatur.

$$\frac{-7}{y}$$

Espandi

$$-\frac{7}{y}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y+7 u y-7 huwa \left(y-7\right)\left(y+7\right). Immultiplika \frac{y}{y+7} b'\frac{y-7}{y-7}. Immultiplika \frac{y}{y-7} b'\frac{y+7}{y+7}.

$$\frac{\frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)}-\frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Billi \frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)} u \frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{y\left(y-7\right)-y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Agħmel il-multiplikazzjonijiet fi y\left(y-7\right)-y\left(y+7\right).

$$\frac{\frac{y^{2}-7y-y^{2}-7y}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Ikkombina termini simili f'y^{2}-7y-y^{2}-7y.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y}{y+7}+\frac{y}{y-7}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y+7 u y-7 huwa \left(y-7\right)\left(y+7\right). Immultiplika \frac{y}{y+7} b'\frac{y-7}{y-7}. Immultiplika \frac{y}{y-7} b'\frac{y+7}{y+7}.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)}+\frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}$$

Billi \frac{y\left(y-7\right)}{\left(y-7\right)\left(y+7\right)} u \frac{y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y\left(y-7\right)+y\left(y+7\right)}{\left(y-7\right)\left(y+7\right)}}$$

Agħmel il-multiplikazzjonijiet fi y\left(y-7\right)+y\left(y+7\right).

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{y^{2}-7y+y^{2}+7y}{\left(y-7\right)\left(y+7\right)}}$$

Ikkombina termini simili f'y^{2}-7y+y^{2}+7y.

$$\frac{\frac{-14y}{\left(y-7\right)\left(y+7\right)}}{\frac{2y^{2}}{\left(y-7\right)\left(y+7\right)}}$$

Iddividi \frac{-14y}{\left(y-7\right)\left(y+7\right)} b'\frac{2y^{2}}{\left(y-7\right)\left(y+7\right)} billi timmultiplika \frac{-14y}{\left(y-7\right)\left(y+7\right)} bir-reċiproku ta' \frac{2y^{2}}{\left(y-7\right)\left(y+7\right)}.

$$\frac{-14y\left(y-7\right)\left(y+7\right)}{\left(y-7\right)\left(y+7\right)\times 2y^{2}}$$

Annulla 2y\left(y-7\right)\left(y+7\right) fin-numeratur u d-denominatur.

$$\frac{-7}{y}$$