Issolvi 3x^2+4-5/x^2+5x+4-2x/x+1+4/x+4

$$\frac { 3 x ^ { 2 } + 4 - 5 } { x ^ { 2 } + 5 x + 4 } - \frac { 2 x } { x + 1 } + \frac { 4 } { x + 4 }$$

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Naqqas 5 minn 4 biex tikseb -1.

$$\frac{3x^{2}-1}{x^{2}+5x+4}-\frac{2x}{x+1}+\frac{4}{x+4}$$

Iffattura x^{2}+5x+4.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x+1\right)\left(x+4\right) u x+1 huwa \left(x+1\right)\left(x+4\right). Immultiplika \frac{2x}{x+1} b'\frac{x+4}{x+4}.

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

Billi \frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)} u \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 3x^{2}-1-2x\left(x+4\right).

$$\frac{3x^{2}-1-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Ikkombina termini simili f'3x^{2}-1-2x^{2}-8x.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x+1\right)\left(x+4\right) u x+4 huwa \left(x+1\right)\left(x+4\right). Immultiplika \frac{4}{x+4} b'\frac{x+1}{x+1}.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

Billi \frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)} u \frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{x^{2}-1-8x+4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

Agħmel il-multiplikazzjonijiet fi x^{2}-1-8x+4\left(x+1\right).

$$\frac{x^{2}-1-8x+4x+4}{\left(x+1\right)\left(x+4\right)}$$

Ikkombina termini simili f'x^{2}-1-8x+4x+4.

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

Espandi \left(x+1\right)\left(x+4\right).

$$\frac{x^{2}+3-4x}{x^{2}+5x+4}$$

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Naqqas 5 minn 4 biex tikseb -1.

$$\frac{3x^{2}-1}{x^{2}+5x+4}-\frac{2x}{x+1}+\frac{4}{x+4}$$

Iffattura x^{2}+5x+4.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x+1\right)\left(x+4\right) u x+1 huwa \left(x+1\right)\left(x+4\right). Immultiplika \frac{2x}{x+1} b'\frac{x+4}{x+4}.

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

Billi \frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)} u \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 3x^{2}-1-2x\left(x+4\right).

$$\frac{3x^{2}-1-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Ikkombina termini simili f'3x^{2}-1-2x^{2}-8x.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x+1\right)\left(x+4\right) u x+4 huwa \left(x+1\right)\left(x+4\right). Immultiplika \frac{4}{x+4} b'\frac{x+1}{x+1}.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

Billi \frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)} u \frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{x^{2}-1-8x+4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

Agħmel il-multiplikazzjonijiet fi x^{2}-1-8x+4\left(x+1\right).

$$\frac{x^{2}-1-8x+4x+4}{\left(x+1\right)\left(x+4\right)}$$

Ikkombina termini simili f'x^{2}-1-8x+4x+4.

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

Espandi \left(x+1\right)\left(x+4\right).

$$\frac{x^{2}+3-4x}{x^{2}+5x+4}$$