Issolvi 8/x+3+12/x+7/frac{5x+23{x^2+10x+21}}

$$\frac { \frac { 8 } { x + 3 } + \frac { 12 } { x + 7 } } { \frac { 5 x + 23 } { x ^ { 2 } + 10 x + 21 } }$$

Evalwa

$$4$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x+3 u x+7 huwa \left(x+3\right)\left(x+7\right). Immultiplika \frac{8}{x+3} b'\frac{x+7}{x+7}. Immultiplika \frac{12}{x+7} b'\frac{x+3}{x+3}.

$$\frac{\frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)}+\frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Billi \frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)} u \frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{8\left(x+7\right)+12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Agħmel il-multiplikazzjonijiet fi 8\left(x+7\right)+12\left(x+3\right).

$$\frac{\frac{8x+56+12x+36}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Ikkombina termini simili f'8x+56+12x+36.

$$\frac{\frac{20x+92}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Iddividi \frac{20x+92}{\left(x+3\right)\left(x+7\right)} b'\frac{5x+23}{x^{2}+10x+21} billi timmultiplika \frac{20x+92}{\left(x+3\right)\left(x+7\right)} bir-reċiproku ta' \frac{5x+23}{x^{2}+10x+21}.

$$\frac{\left(20x+92\right)\left(x^{2}+10x+21\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

$$\frac{4\left(x+3\right)\left(x+7\right)\left(5x+23\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Annulla \left(x+3\right)\left(x+7\right)\left(5x+23\right) fin-numeratur u d-denominatur.

$$4$$

Fattur

$$2^{2}$$