Issolvi x^2/x^2+6x+9-4/x^2-9=

$$\frac { x ^ { 2 } } { x ^ { 2 } + 6 x + 9 } - \frac { 4 } { x ^ { 2 } - 9 } =$$

Evalwa

$$\frac{x^{3}-3x^{2}-4x-12}{\left(x-3\right)\left(x+3\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}+6x+9. Iffattura x^{2}-9.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' \left(x+3\right)^{2} u \left(x-3\right)\left(x+3\right) huwa \left(x-3\right)\left(x+3\right)^{2}. Immultiplika \frac{x^{2}}{\left(x+3\right)^{2}} b'\frac{x-3}{x-3}. Immultiplika \frac{4}{\left(x-3\right)\left(x+3\right)} b'\frac{x+3}{x+3}.

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

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

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

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

$$\frac{x^{3}-3x^{2}-4x-12}{\left(x-3\right)\left(x+3\right)^{2}}$$

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

$$\frac{x^{3}-3x^{2}-4x-12}{x^{3}+3x^{2}-9x-27}$$

Iddifferenzja w.r.t. x

$$\frac{2x\left(3x^{2}-14x+39\right)}{\left(x-3\right)^{2}\left(x+3\right)^{3}}$$