Issolvi (2x-3+1/x+3)+(x+1-3/2x+1)

$$( 2 x - 3 + \frac { 1 } { x + 3 } ) + ( x + 1 - \frac { 3 } { 2 x + 1 } )$$

Evalwa

$$\frac{6x^{3}+17x^{2}-6x-14}{\left(x+3\right)\left(2x+1\right)}$$

Passi Qosra tas-Soluzzjonijiet

Ikkombina 2x u x biex tikseb 3x.

$$3x-3+\frac{1}{x+3}+1-\frac{3}{2x+1}$$

Żid -3 u 1 biex tikseb -2.

$$3x-2+\frac{1}{x+3}-\frac{3}{2x+1}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 3x-2 b'\frac{x+3}{x+3}.

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

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

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

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

$$\frac{3x^{2}+9x-2x-6+1}{x+3}-\frac{3}{2x+1}$$

Ikkombina termini simili f'3x^{2}+9x-2x-6+1.

$$\frac{3x^{2}+7x-5}{x+3}-\frac{3}{2x+1}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x+3 u 2x+1 huwa \left(x+3\right)\left(2x+1\right). Immultiplika \frac{3x^{2}+7x-5}{x+3} b'\frac{2x+1}{2x+1}. Immultiplika \frac{3}{2x+1} b'\frac{x+3}{x+3}.

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

Billi \frac{\left(3x^{2}+7x-5\right)\left(2x+1\right)}{\left(x+3\right)\left(2x+1\right)} u \frac{3\left(x+3\right)}{\left(x+3\right)\left(2x+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi \left(3x^{2}+7x-5\right)\left(2x+1\right)-3\left(x+3\right).

$$\frac{6x^{3}+3x^{2}+14x^{2}+7x-10x-5-3x-9}{\left(x+3\right)\left(2x+1\right)}$$

Ikkombina termini simili f'6x^{3}+3x^{2}+14x^{2}+7x-10x-5-3x-9.

$$\frac{6x^{3}+17x^{2}-6x-14}{\left(x+3\right)\left(2x+1\right)}$$

Espandi \left(x+3\right)\left(2x+1\right).

$$\frac{6x^{3}+17x^{2}-6x-14}{2x^{2}+7x+3}$$

Iddifferenzja w.r.t. x

$$\frac{12x^{4}+84x^{3}+185x^{2}+158x+80}{\left(\left(x+3\right)\left(2x+1\right)\right)^{2}}$$