Issolvi 7/9x^2+x/3x^2+3x

$$\frac { 7 } { 9 x ^ { 2 } } + \frac { x } { 3 x ^ { 2 } + 3 x }$$

Evalwa

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{x}{3x^{2}+3x}.

$$\frac{7}{9x^{2}}+\frac{x}{3x\left(x+1\right)}$$

Annulla x fin-numeratur u d-denominatur.

$$\frac{7}{9x^{2}}+\frac{1}{3\left(x+1\right)}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 9x^{2} u 3\left(x+1\right) huwa 9\left(x+1\right)x^{2}. Immultiplika \frac{7}{9x^{2}} b'\frac{x+1}{x+1}. Immultiplika \frac{1}{3\left(x+1\right)} b'\frac{3x^{2}}{3x^{2}}.

$$\frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}}+\frac{3x^{2}}{9\left(x+1\right)x^{2}}$$

Billi \frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}} u \frac{3x^{2}}{9\left(x+1\right)x^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{7\left(x+1\right)+3x^{2}}{9\left(x+1\right)x^{2}}$$

Agħmel il-multiplikazzjonijiet fi 7\left(x+1\right)+3x^{2}.

$$\frac{7x+7+3x^{2}}{9\left(x+1\right)x^{2}}$$

Espandi 9\left(x+1\right)x^{2}.

$$\frac{7x+7+3x^{2}}{9x^{3}+9x^{2}}$$

Fattur

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$