Issolvi 5/9/x+13/4/x+3+-23/3/(x+3)^2

$$\frac { 5 / 9 } { x } + \frac { 13 / 4 } { x + 3 } + \frac { - 23 / 3 } { ( x + 3 ) ^ { 2 } }$$

Evalwa

$$\frac{137x^{2}+195x+180}{36x\left(x+3\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Esprimi \frac{\frac{5}{9}}{x} bħala frazzjoni waħda.

$$\frac{5}{9x}+\frac{\frac{13}{4}}{x+3}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Esprimi \frac{\frac{13}{4}}{x+3} bħala frazzjoni waħda.

$$\frac{5}{9x}+\frac{13}{4\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 9x u 4\left(x+3\right) huwa 36x\left(x+3\right). Immultiplika \frac{5}{9x} b'\frac{4\left(x+3\right)}{4\left(x+3\right)}. Immultiplika \frac{13}{4\left(x+3\right)} b'\frac{9x}{9x}.

$$\frac{5\times 4\left(x+3\right)}{36x\left(x+3\right)}+\frac{13\times 9x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Billi \frac{5\times 4\left(x+3\right)}{36x\left(x+3\right)} u \frac{13\times 9x}{36x\left(x+3\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{5\times 4\left(x+3\right)+13\times 9x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi 5\times 4\left(x+3\right)+13\times 9x.

$$\frac{20x+60+117x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Ikkombina termini simili f'20x+60+117x.

$$\frac{137x+60}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Uża l-propjetà distributtiva biex timmultiplika 36x b'x+3.

$$\frac{137x+60}{36x^{2}+108x}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Esprimi \frac{-\frac{23}{3}}{\left(x+3\right)^{2}} bħala frazzjoni waħda.

$$\frac{137x+60}{36x^{2}+108x}+\frac{-23}{3\left(x+3\right)^{2}}$$

Iffattura 36x^{2}+108x.

$$\frac{137x+60}{36x\left(x+3\right)}+\frac{-23}{3\left(x+3\right)^{2}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 36x\left(x+3\right) u 3\left(x+3\right)^{2} huwa 36x\left(x+3\right)^{2}. Immultiplika \frac{137x+60}{36x\left(x+3\right)} b'\frac{x+3}{x+3}. Immultiplika \frac{-23}{3\left(x+3\right)^{2}} b'\frac{12x}{12x}.

$$\frac{\left(137x+60\right)\left(x+3\right)}{36x\left(x+3\right)^{2}}+\frac{-23\times 12x}{36x\left(x+3\right)^{2}}$$

Billi \frac{\left(137x+60\right)\left(x+3\right)}{36x\left(x+3\right)^{2}} u \frac{-23\times 12x}{36x\left(x+3\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(137x+60\right)\left(x+3\right)-23\times 12x}{36x\left(x+3\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi \left(137x+60\right)\left(x+3\right)-23\times 12x.

$$\frac{137x^{2}+411x+60x+180-276x}{36x\left(x+3\right)^{2}}$$

Ikkombina termini simili f'137x^{2}+411x+60x+180-276x.

$$\frac{137x^{2}+195x+180}{36x\left(x+3\right)^{2}}$$

Espandi 36x\left(x+3\right)^{2}.

$$\frac{137x^{2}+195x+180}{36x^{3}+216x^{2}+324x}$$

Espandi

$$\frac{137x^{2}+195x+180}{36x\left(x+3\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Esprimi \frac{\frac{5}{9}}{x} bħala frazzjoni waħda.

$$\frac{5}{9x}+\frac{\frac{13}{4}}{x+3}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Esprimi \frac{\frac{13}{4}}{x+3} bħala frazzjoni waħda.

$$\frac{5}{9x}+\frac{13}{4\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 9x u 4\left(x+3\right) huwa 36x\left(x+3\right). Immultiplika \frac{5}{9x} b'\frac{4\left(x+3\right)}{4\left(x+3\right)}. Immultiplika \frac{13}{4\left(x+3\right)} b'\frac{9x}{9x}.

$$\frac{5\times 4\left(x+3\right)}{36x\left(x+3\right)}+\frac{13\times 9x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Billi \frac{5\times 4\left(x+3\right)}{36x\left(x+3\right)} u \frac{13\times 9x}{36x\left(x+3\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{5\times 4\left(x+3\right)+13\times 9x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi 5\times 4\left(x+3\right)+13\times 9x.

$$\frac{20x+60+117x}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Ikkombina termini simili f'20x+60+117x.

$$\frac{137x+60}{36x\left(x+3\right)}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Uża l-propjetà distributtiva biex timmultiplika 36x b'x+3.

$$\frac{137x+60}{36x^{2}+108x}+\frac{-\frac{23}{3}}{\left(x+3\right)^{2}}$$

Esprimi \frac{-\frac{23}{3}}{\left(x+3\right)^{2}} bħala frazzjoni waħda.

$$\frac{137x+60}{36x^{2}+108x}+\frac{-23}{3\left(x+3\right)^{2}}$$

Iffattura 36x^{2}+108x.

$$\frac{137x+60}{36x\left(x+3\right)}+\frac{-23}{3\left(x+3\right)^{2}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 36x\left(x+3\right) u 3\left(x+3\right)^{2} huwa 36x\left(x+3\right)^{2}. Immultiplika \frac{137x+60}{36x\left(x+3\right)} b'\frac{x+3}{x+3}. Immultiplika \frac{-23}{3\left(x+3\right)^{2}} b'\frac{12x}{12x}.

$$\frac{\left(137x+60\right)\left(x+3\right)}{36x\left(x+3\right)^{2}}+\frac{-23\times 12x}{36x\left(x+3\right)^{2}}$$

Billi \frac{\left(137x+60\right)\left(x+3\right)}{36x\left(x+3\right)^{2}} u \frac{-23\times 12x}{36x\left(x+3\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\left(137x+60\right)\left(x+3\right)-23\times 12x}{36x\left(x+3\right)^{2}}$$

Agħmel il-multiplikazzjonijiet fi \left(137x+60\right)\left(x+3\right)-23\times 12x.

$$\frac{137x^{2}+411x+60x+180-276x}{36x\left(x+3\right)^{2}}$$

Ikkombina termini simili f'137x^{2}+411x+60x+180-276x.

$$\frac{137x^{2}+195x+180}{36x\left(x+3\right)^{2}}$$

Espandi 36x\left(x+3\right)^{2}.

$$\frac{137x^{2}+195x+180}{36x^{3}+216x^{2}+324x}$$