Issolvi 10/x^2+6+9+2/x+3

$$\frac { 10 } { x ^ { 2 } + 6 + 9 } + \frac { 2 } { x + 3 }$$

Evalwa

$$\frac{2\left(x^{2}+5x+30\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

Passi Qosra tas-Soluzzjonijiet

Żid 6 u 9 biex tikseb 15.

$$\frac{10}{x^{2}+15}+\frac{2}{x+3}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x^{2}+15 u x+3 huwa \left(x+3\right)\left(x^{2}+15\right). Immultiplika \frac{10}{x^{2}+15} b'\frac{x+3}{x+3}. Immultiplika \frac{2}{x+3} b'\frac{x^{2}+15}{x^{2}+15}.

$$\frac{10\left(x+3\right)}{\left(x+3\right)\left(x^{2}+15\right)}+\frac{2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

Billi \frac{10\left(x+3\right)}{\left(x+3\right)\left(x^{2}+15\right)} u \frac{2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{10\left(x+3\right)+2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

Agħmel il-multiplikazzjonijiet fi 10\left(x+3\right)+2\left(x^{2}+15\right).

$$\frac{10x+30+2x^{2}+30}{\left(x+3\right)\left(x^{2}+15\right)}$$

Ikkombina termini simili f'10x+30+2x^{2}+30.

$$\frac{10x+60+2x^{2}}{\left(x+3\right)\left(x^{2}+15\right)}$$

Espandi \left(x+3\right)\left(x^{2}+15\right).

$$\frac{10x+60+2x^{2}}{x^{3}+3x^{2}+15x+45}$$

Fattur

$$\frac{2\left(x^{2}+5x+30\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$