Issolvi (5x-10x/x+1):15x-15/4x+4

$$( 5 x - \frac { 10 x } { x + 1 } ) : \frac { 15 x - 15 } { 4 x + 4 }$$

Evalwa

$$\frac{4x}{3}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 5x b'\frac{x+1}{x+1}.

$$\frac{\frac{5x\left(x+1\right)}{x+1}-\frac{10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Billi \frac{5x\left(x+1\right)}{x+1} u \frac{10x}{x+1} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5x\left(x+1\right)-10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Agħmel il-multiplikazzjonijiet fi 5x\left(x+1\right)-10x.

$$\frac{\frac{5x^{2}+5x-10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Ikkombina termini simili f'5x^{2}+5x-10x.

$$\frac{\frac{5x^{2}-5x}{x+1}}{\frac{15x-15}{4x+4}}$$

Iddividi \frac{5x^{2}-5x}{x+1} b'\frac{15x-15}{4x+4} billi timmultiplika \frac{5x^{2}-5x}{x+1} bir-reċiproku ta' \frac{15x-15}{4x+4}.

$$\frac{\left(5x^{2}-5x\right)\left(4x+4\right)}{\left(x+1\right)\left(15x-15\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{4\times 5x\left(x-1\right)\left(x+1\right)}{15\left(x-1\right)\left(x+1\right)}$$

Annulla 5\left(x-1\right)\left(x+1\right) fin-numeratur u d-denominatur.

$$\frac{4x}{3}$$

Espandi

$$\frac{4x}{3}$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 5x b'\frac{x+1}{x+1}.

$$\frac{\frac{5x\left(x+1\right)}{x+1}-\frac{10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Billi \frac{5x\left(x+1\right)}{x+1} u \frac{10x}{x+1} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5x\left(x+1\right)-10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Agħmel il-multiplikazzjonijiet fi 5x\left(x+1\right)-10x.

$$\frac{\frac{5x^{2}+5x-10x}{x+1}}{\frac{15x-15}{4x+4}}$$

Ikkombina termini simili f'5x^{2}+5x-10x.

$$\frac{\frac{5x^{2}-5x}{x+1}}{\frac{15x-15}{4x+4}}$$

Iddividi \frac{5x^{2}-5x}{x+1} b'\frac{15x-15}{4x+4} billi timmultiplika \frac{5x^{2}-5x}{x+1} bir-reċiproku ta' \frac{15x-15}{4x+4}.

$$\frac{\left(5x^{2}-5x\right)\left(4x+4\right)}{\left(x+1\right)\left(15x-15\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{4\times 5x\left(x-1\right)\left(x+1\right)}{15\left(x-1\right)\left(x+1\right)}$$

Annulla 5\left(x-1\right)\left(x+1\right) fin-numeratur u d-denominatur.

$$\frac{4x}{3}$$