Whakaoti i te (a+3b/a^{2-3ab}-a-3b/a^2+3ab)*a^2-9b^2/2a^2

$$( \frac { a + 3 b } { a ^ { 2 } - 3 a b } - \frac { a - 3 b } { a ^ { 2 } + 3 a b } ) \cdot \frac { a ^ { 2 } - 9 b ^ { 2 } } { 2 a ^ { 2 } }$$

Aromātai

$$\frac{6b}{a^{2}}$$

Ngā Hipanga Rongoā Poto

Tauwehea te a^{2}-3ab. Tauwehea te a^{2}+3ab.

$$\left(\frac{a+3b}{a\left(a-3b\right)}-\frac{a-3b}{a\left(a+3b\right)}\right)\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

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

$$\left(\frac{\left(a+3b\right)\left(a+3b\right)}{a\left(a-3b\right)\left(a+3b\right)}-\frac{\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}\right)\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Tā te mea he rite te tauraro o \frac{\left(a+3b\right)\left(a+3b\right)}{a\left(a-3b\right)\left(a+3b\right)} me \frac{\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\left(a+3b\right)\left(a+3b\right)-\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Mahia ngā whakarea i roto o \left(a+3b\right)\left(a+3b\right)-\left(a-3b\right)\left(a-3b\right).

$$\frac{a^{2}+3ab+3ab+9b^{2}-a^{2}+3ab+3ab-9b^{2}}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Whakakotahitia ngā kupu rite i a^{2}+3ab+3ab+9b^{2}-a^{2}+3ab+3ab-9b^{2}.

$$\frac{12ab}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{12b}{\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Me whakarea te \frac{12b}{\left(a-3b\right)\left(a+3b\right)} ki te \frac{a^{2}-9b^{2}}{2a^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{12b\left(a^{2}-9b^{2}\right)}{\left(a-3b\right)\left(a+3b\right)\times 2a^{2}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{6b\left(a-3b\right)\left(a+3b\right)}{\left(a-3b\right)\left(a+3b\right)a^{2}}$$

Me whakakore tahi te \left(a-3b\right)\left(a+3b\right) i te taurunga me te tauraro.

$$\frac{6b}{a^{2}}$$

Whakaroha

$$\frac{6b}{a^{2}}$$

Ngā Hipanga Rongoā Poto

Tauwehea te a^{2}-3ab. Tauwehea te a^{2}+3ab.

$$\left(\frac{a+3b}{a\left(a-3b\right)}-\frac{a-3b}{a\left(a+3b\right)}\right)\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

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

$$\left(\frac{\left(a+3b\right)\left(a+3b\right)}{a\left(a-3b\right)\left(a+3b\right)}-\frac{\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}\right)\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Tā te mea he rite te tauraro o \frac{\left(a+3b\right)\left(a+3b\right)}{a\left(a-3b\right)\left(a+3b\right)} me \frac{\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\left(a+3b\right)\left(a+3b\right)-\left(a-3b\right)\left(a-3b\right)}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Mahia ngā whakarea i roto o \left(a+3b\right)\left(a+3b\right)-\left(a-3b\right)\left(a-3b\right).

$$\frac{a^{2}+3ab+3ab+9b^{2}-a^{2}+3ab+3ab-9b^{2}}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Whakakotahitia ngā kupu rite i a^{2}+3ab+3ab+9b^{2}-a^{2}+3ab+3ab-9b^{2}.

$$\frac{12ab}{a\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{12b}{\left(a-3b\right)\left(a+3b\right)}\times \frac{a^{2}-9b^{2}}{2a^{2}}$$

Me whakarea te \frac{12b}{\left(a-3b\right)\left(a+3b\right)} ki te \frac{a^{2}-9b^{2}}{2a^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{12b\left(a^{2}-9b^{2}\right)}{\left(a-3b\right)\left(a+3b\right)\times 2a^{2}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{6b\left(a-3b\right)\left(a+3b\right)}{\left(a-3b\right)\left(a+3b\right)a^{2}}$$

Me whakakore tahi te \left(a-3b\right)\left(a+3b\right) i te taurunga me te tauraro.

$$\frac{6b}{a^{2}}$$