Riješi 6/x+3-2/x+5

$$\frac { 6 } { x + 3 } - \frac { 2 } { x + 5 }$$

Procijeni

$$\frac{4\left(x+6\right)}{\left(x+3\right)\left(x+5\right)}$$

Kratki koraci rješenja

Da biste izvršili zbrajanje ili oduzimanje izraza, rastavite ih kako bi im nazivnici bili isti. Najmanji zajednički množilac brojeva x+3 i x+5 je \left(x+3\right)\left(x+5\right). Pomnožite \frac{6}{x+3} i \frac{x+5}{x+5}. Pomnožite \frac{2}{x+5} i \frac{x+3}{x+3}.

$$\frac{6\left(x+5\right)}{\left(x+3\right)\left(x+5\right)}-\frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}$$

Pošto \frac{6\left(x+5\right)}{\left(x+3\right)\left(x+5\right)} i \frac{2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)} imaju isti imenilac, oduzmite ih tako što ćete oduzeti njihove brojioce.

$$\frac{6\left(x+5\right)-2\left(x+3\right)}{\left(x+3\right)\left(x+5\right)}$$

Izvršite množenja u 6\left(x+5\right)-2\left(x+3\right).

$$\frac{6x+30-2x-6}{\left(x+3\right)\left(x+5\right)}$$

Kombinirajte slične izraze u 6x+30-2x-6.

$$\frac{4x+24}{\left(x+3\right)\left(x+5\right)}$$

Proširite \left(x+3\right)\left(x+5\right).

$$\frac{4x+24}{x^{2}+8x+15}$$

Faktor

$$\frac{4\left(x+6\right)}{\left(x+3\right)\left(x+5\right)}$$