Issolvi 2/x+5+4/x+3/frac{3x+13{x^2+8x+15}}

$$\frac { \frac { 2 } { x + 5 } + \frac { 4 } { x + 3 } } { \frac { 3 x + 13 } { x ^ { 2 } + 8 x + 15 } }$$

Evalwa

$$2$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x+5 u x+3 huwa \left(x+3\right)\left(x+5\right). Immultiplika \frac{2}{x+5} b'\frac{x+3}{x+3}. Immultiplika \frac{4}{x+3} b'\frac{x+5}{x+5}.

$$\frac{\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}+\frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

Billi \frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} u \frac{4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{2\left(x+3\right)+4\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

Agħmel il-multiplikazzjonijiet fi 2\left(x+3\right)+4\left(x+5\right).

$$\frac{\frac{2x+6+4x+20}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

Ikkombina termini simili f'2x+6+4x+20.

$$\frac{\frac{6x+26}{\left(x+3\right)\left(x+5\right)}}{\frac{3x+13}{x^{2}+8x+15}}$$

Iddividi \frac{6x+26}{\left(x+3\right)\left(x+5\right)} b'\frac{3x+13}{x^{2}+8x+15} billi timmultiplika \frac{6x+26}{\left(x+3\right)\left(x+5\right)} bir-reċiproku ta' \frac{3x+13}{x^{2}+8x+15}.

$$\frac{\left(6x+26\right)\left(x^{2}+8x+15\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{2\left(x+3\right)\left(x+5\right)\left(3x+13\right)}{\left(x+3\right)\left(x+5\right)\left(3x+13\right)}$$

Annulla \left(x+3\right)\left(x+5\right)\left(3x+13\right) fin-numeratur u d-denominatur.

$$2$$

Fattur

$$2$$