Riješi 1/(x+1)(x+2)+1/(x+2)(x+5)

$$\frac { 1 } { ( x + 1 ) ( x + 2 ) } + \frac { 1 } { ( x + 2 ) ( x + 5 ) }$$

Procijeni

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

Kratki koraci rješenja

Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva \left(x+1\right)\left(x+2\right) i \left(x+2\right)\left(x+5\right) je \left(x+1\right)\left(x+2\right)\left(x+5\right). Pomnožite \frac{1}{\left(x+1\right)\left(x+2\right)} i \frac{x+5}{x+5}. Pomnožite \frac{1}{\left(x+2\right)\left(x+5\right)} i \frac{x+1}{x+1}.

$$\frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}+\frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Pošto \frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} i \frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.

$$\frac{x+5+x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Kombinirajte slične izraze u x+5+x+1.

$$\frac{2x+6}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Proširite \left(x+1\right)\left(x+2\right)\left(x+5\right).

$$\frac{2x+6}{x^{3}+8x^{2}+17x+10}$$

Proširi

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

Kratki koraci rješenja

Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva \left(x+1\right)\left(x+2\right) i \left(x+2\right)\left(x+5\right) je \left(x+1\right)\left(x+2\right)\left(x+5\right). Pomnožite \frac{1}{\left(x+1\right)\left(x+2\right)} i \frac{x+5}{x+5}. Pomnožite \frac{1}{\left(x+2\right)\left(x+5\right)} i \frac{x+1}{x+1}.

$$\frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}+\frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Pošto \frac{x+5}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} i \frac{x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.

$$\frac{x+5+x+1}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Kombinirajte slične izraze u x+5+x+1.

$$\frac{2x+6}{\left(x+1\right)\left(x+2\right)\left(x+5\right)}$$

Proširite \left(x+1\right)\left(x+2\right)\left(x+5\right).

$$\frac{2x+6}{x^{3}+8x^{2}+17x+10}$$