Whakaoti i te 8/x+3+12/x+7/frac{5x+23{x^2+10x+21}}

$$\frac { \frac { 8 } { x + 3 } + \frac { 12 } { x + 7 } } { \frac { 5 x + 23 } { x ^ { 2 } + 10 x + 21 } }$$

Aromātai

$$4$$

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 x+7 ko \left(x+3\right)\left(x+7\right). Whakareatia \frac{8}{x+3} ki te \frac{x+7}{x+7}. Whakareatia \frac{12}{x+7} ki te \frac{x+3}{x+3}.

$$\frac{\frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)}+\frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Tā te mea he rite te tauraro o \frac{8\left(x+7\right)}{\left(x+3\right)\left(x+7\right)} me \frac{12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8\left(x+7\right)+12\left(x+3\right)}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Mahia ngā whakarea i roto o 8\left(x+7\right)+12\left(x+3\right).

$$\frac{\frac{8x+56+12x+36}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Whakakotahitia ngā kupu rite i 8x+56+12x+36.

$$\frac{\frac{20x+92}{\left(x+3\right)\left(x+7\right)}}{\frac{5x+23}{x^{2}+10x+21}}$$

Whakawehe \frac{20x+92}{\left(x+3\right)\left(x+7\right)} ki te \frac{5x+23}{x^{2}+10x+21} mā te whakarea \frac{20x+92}{\left(x+3\right)\left(x+7\right)} ki te tau huripoki o \frac{5x+23}{x^{2}+10x+21}.

$$\frac{\left(20x+92\right)\left(x^{2}+10x+21\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{4\left(x+3\right)\left(x+7\right)\left(5x+23\right)}{\left(x+3\right)\left(x+7\right)\left(5x+23\right)}$$

Me whakakore tahi te \left(x+3\right)\left(x+7\right)\left(5x+23\right) i te taurunga me te tauraro.

$$4$$

Tauwehe

$$2^{2}$$