Issolvi 2x-3/x+1*2x-5/x-1=

$$\frac { 2 x - 3 } { x + 1 } \times \frac { 2 x - 5 } { x - 1 } =$$

Evalwa

$$\frac{\left(2x-5\right)\left(2x-3\right)}{x^{2}-1}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{2x-3}{x+1} b'\frac{2x-5}{x-1} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(2x-3\right)\left(2x-5\right)}{\left(x+1\right)\left(x-1\right)}$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x-3 b'kull terminu ta' 2x-5.

$$\frac{4x^{2}-10x-6x+15}{\left(x+1\right)\left(x-1\right)}$$

Ikkombina -10x u -6x biex tikseb -16x.

$$\frac{4x^{2}-16x+15}{\left(x+1\right)\left(x-1\right)}$$

Ikkunsidra li \left(x+1\right)\left(x-1\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{4x^{2}-16x+15}{x^{2}-1^{2}}$$

Ikkalkula 1 bil-power ta' 2 u tikseb 1.

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$

Espandi

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$

Passi Qosra tas-Soluzzjonijiet

Immultiplika \frac{2x-3}{x+1} b'\frac{2x-5}{x-1} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\left(2x-3\right)\left(2x-5\right)}{\left(x+1\right)\left(x-1\right)}$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x-3 b'kull terminu ta' 2x-5.

$$\frac{4x^{2}-10x-6x+15}{\left(x+1\right)\left(x-1\right)}$$

Ikkombina -10x u -6x biex tikseb -16x.

$$\frac{4x^{2}-16x+15}{\left(x+1\right)\left(x-1\right)}$$

Ikkunsidra li \left(x+1\right)\left(x-1\right). Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{4x^{2}-16x+15}{x^{2}-1^{2}}$$

Ikkalkula 1 bil-power ta' 2 u tikseb 1.

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$