Whakaoti i te 24/x-3+15/3x+1

$$\frac{24}{x-3} + \frac{15}{3x+1}$$

Aromātai

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x-3 me 3x+1 ko \left(x-3\right)\left(3x+1\right). Whakareatia \frac{24}{x-3} ki te \frac{3x+1}{3x+1}. Whakareatia \frac{15}{3x+1} ki te \frac{x-3}{x-3}.

$$\frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)}+\frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

Tā te mea he rite te tauraro o \frac{24\left(3x+1\right)}{\left(x-3\right)\left(3x+1\right)} me \frac{15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{24\left(3x+1\right)+15\left(x-3\right)}{\left(x-3\right)\left(3x+1\right)}$$

Mahia ngā whakarea i roto o 24\left(3x+1\right)+15\left(x-3\right).

$$\frac{72x+24+15x-45}{\left(x-3\right)\left(3x+1\right)}$$

Whakakotahitia ngā kupu rite i 72x+24+15x-45.

$$\frac{87x-21}{\left(x-3\right)\left(3x+1\right)}$$

Whakarohaina te \left(x-3\right)\left(3x+1\right).

$$\frac{87x-21}{3x^{2}-8x-3}$$

Tauwehe

$$\frac{3\left(29x-7\right)}{\left(x-3\right)\left(3x+1\right)}$$