Issolvi 3x+5/x-4-7x^2+38x+59/3x^2-5x-28+x+1/3x+7

$$\frac { 3 x + 5 } { x - 4 } - \frac { 7 x ^ { 2 } + 38 x + 59 } { 3 x ^ { 2 } - 5 x - 28 } + \frac { x + 1 } { 3 x + 7 }$$

Evalwa

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Passi Qosra tas-Soluzzjonijiet

Iffattura 3x^{2}-5x-28.

$$\frac{3x+5}{x-4}-\frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x-4 u \left(x-4\right)\left(3x+7\right) huwa \left(x-4\right)\left(3x+7\right). Immultiplika \frac{3x+5}{x-4} b'\frac{3x+7}{3x+7}.

$$\frac{\left(3x+5\right)\left(3x+7\right)}{\left(x-4\right)\left(3x+7\right)}-\frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Billi \frac{\left(3x+5\right)\left(3x+7\right)}{\left(x-4\right)\left(3x+7\right)} u \frac{7x^{2}+38x+59}{\left(x-4\right)\left(3x+7\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\left(3x+5\right)\left(3x+7\right)-\left(7x^{2}+38x+59\right)}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Agħmel il-multiplikazzjonijiet fi \left(3x+5\right)\left(3x+7\right)-\left(7x^{2}+38x+59\right).

$$\frac{9x^{2}+21x+15x+35-7x^{2}-38x-59}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Ikkombina termini simili f'9x^{2}+21x+15x+35-7x^{2}-38x-59.

$$\frac{2x^{2}-2x-24}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{2x^{2}-2x-24}{\left(x-4\right)\left(3x+7\right)}.

$$\frac{2\left(x-4\right)\left(x+3\right)}{\left(x-4\right)\left(3x+7\right)}+\frac{x+1}{3x+7}$$

Annulla x-4 fin-numeratur u d-denominatur.

$$\frac{2\left(x+3\right)}{3x+7}+\frac{x+1}{3x+7}$$

Billi \frac{2\left(x+3\right)}{3x+7} u \frac{x+1}{3x+7} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2\left(x+3\right)+x+1}{3x+7}$$

Agħmel il-multiplikazzjonijiet fi 2\left(x+3\right)+x+1.

$$\frac{2x+6+x+1}{3x+7}$$

Ikkombina termini simili f'2x+6+x+1.

$$\frac{3x+7}{3x+7}$$

Annulla 3x+7 fin-numeratur u d-denominatur.

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Fattur

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