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

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura 2x^{2}-x-3. Iffattura 2x^{2}+x-1.

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

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

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

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

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

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

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

Ikkombina termini simili f'2x-1-2x+3.

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

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

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

Iddifferenzja w.r.t. x

$$-\frac{2\left(\left(6x-2\right)^{2}-19\right)}{3\left(\left(2x-3\right)\left(2x-1\right)\left(x+1\right)\right)^{2}}$$