Issolvi 24/x-3+15/3x+1

$$\frac{24}{x-3} + \frac{15}{3x+1}$$

Evalwa

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$

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 3x+1 huwa \left(x-3\right)\left(3x+1\right). Immultiplika \frac{24}{x-3} b'\frac{3x+1}{3x+1}. Immultiplika \frac{15}{3x+1} b'\frac{x-3}{x-3}.

$$\frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)}+\frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

Billi \frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)} u \frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{24\left(3x+1\right)+15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

Agħmel il-multiplikazzjonijiet fi 24\left(3x+1\right)+15\left(x-3\right).

$$\frac{72x+24+15x-45}{\left(x-3\right)\left(3x+1\right)}$$

Ikkombina termini simili f'72x+24+15x-45.

$$\frac{87x-21}{\left(x-3\right)\left(3x+1\right)}$$

Espandi \left(x-3\right)\left(3x+1\right).

$$\frac{87x-21}{3x^{2}-8x-3}$$

Fattur

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$