Issolvi (1/x+3+6/x^2-9)+1/x^2-6x+914

$$( \frac { 1 } { x + 3 } + \frac { 6 } { x ^ { 2 } - 9 } ) + \frac { 1 } { x ^ { 2 } - 6 x + 9 } 14$$

Evalwa

$$\frac{x+11}{\left(x-3\right)^{2}}$$

Passi Qosra tas-Soluzzjonijiet

Esprimi \frac{1}{x^{2}-6x+9}\times 14 bħala frazzjoni waħda.

$$\frac{1}{x+3}+\frac{6}{x^{2}-9}+\frac{14}{x^{2}-6x+9}$$

Iffattura x^{2}-9.

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

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

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

Billi \frac{x-3}{\left(x-3\right)\left(x+3\right)} u \frac{6}{\left(x-3\right)\left(x+3\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Ikkombina termini simili f'x-3+6.

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

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

$$\frac{1}{x-3}+\frac{14}{x^{2}-6x+9}$$

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

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

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

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

Billi \frac{x-3}{\left(x-3\right)^{2}} u \frac{14}{\left(x-3\right)^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Ikkombina termini simili f'x-3+14.

$$\frac{x+11}{\left(x-3\right)^{2}}$$

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

$$\frac{x+11}{x^{2}-6x+9}$$

Iddifferenzja w.r.t. x

$$\frac{-x-25}{\left(x-3\right)^{3}}$$