Whakaoti i te 1/a-b-3/a+b/frac{2{b-a}+4/b+a}

$$\frac { \frac { 1 } { a - b } - \frac { 3 } { a + b } } { \frac { 2 } { b - a } + \frac { 4 } { b + a } }$$

Aromātai

$$-\frac{2b-a}{3b-a}$$

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 a-b me a+b ko \left(a+b\right)\left(a-b\right). Whakareatia \frac{1}{a-b} ki te \frac{a+b}{a+b}. Whakareatia \frac{3}{a+b} ki te \frac{a-b}{a-b}.

$$\frac{\frac{a+b}{\left(a+b\right)\left(a-b\right)}-\frac{3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3a+3b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Whakakotahitia ngā kupu rite i a+b-3a+3b.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o b-a me b+a ko \left(a+b\right)\left(-a+b\right). Whakareatia \frac{2}{b-a} ki te \frac{a+b}{a+b}. Whakareatia \frac{4}{b+a} ki te \frac{-a+b}{-a+b}.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)}+\frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

Tā te mea he rite te tauraro o \frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)} me \frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)+4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

Mahia ngā whakarea i roto o 2\left(a+b\right)+4\left(-a+b\right).

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2a+2b-4a+4b}{\left(a+b\right)\left(-a+b\right)}}$$

Whakakotahitia ngā kupu rite i 2a+2b-4a+4b.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}}$$

Whakawehe \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ki te \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} mā te whakarea \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ki te tau huripoki o \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}.

$$\frac{\left(-2a+4b\right)\left(a+b\right)\left(-a+b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

Unuhia te tohu tōraro i roto o -a+b.

$$\frac{-\left(a+b\right)\left(a-b\right)\left(-2a+4b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

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

$$\frac{-\left(-2a+4b\right)}{-2a+6b}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

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

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

Me whakaroha te kīanga.

$$\frac{a-2b}{-a+3b}$$

Whakaroha

$$-\frac{2b-a}{3b-a}$$

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 a-b me a+b ko \left(a+b\right)\left(a-b\right). Whakareatia \frac{1}{a-b} ki te \frac{a+b}{a+b}. Whakareatia \frac{3}{a+b} ki te \frac{a-b}{a-b}.

$$\frac{\frac{a+b}{\left(a+b\right)\left(a-b\right)}-\frac{3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

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

$$\frac{\frac{a+b-3a+3b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Whakakotahitia ngā kupu rite i a+b-3a+3b.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2}{b-a}+\frac{4}{b+a}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o b-a me b+a ko \left(a+b\right)\left(-a+b\right). Whakareatia \frac{2}{b-a} ki te \frac{a+b}{a+b}. Whakareatia \frac{4}{b+a} ki te \frac{-a+b}{-a+b}.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)}+\frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

Tā te mea he rite te tauraro o \frac{2\left(a+b\right)}{\left(a+b\right)\left(-a+b\right)} me \frac{4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2\left(a+b\right)+4\left(-a+b\right)}{\left(a+b\right)\left(-a+b\right)}}$$

Mahia ngā whakarea i roto o 2\left(a+b\right)+4\left(-a+b\right).

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{2a+2b-4a+4b}{\left(a+b\right)\left(-a+b\right)}}$$

Whakakotahitia ngā kupu rite i 2a+2b-4a+4b.

$$\frac{\frac{-2a+4b}{\left(a+b\right)\left(a-b\right)}}{\frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}}$$

Whakawehe \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ki te \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)} mā te whakarea \frac{-2a+4b}{\left(a+b\right)\left(a-b\right)} ki te tau huripoki o \frac{-2a+6b}{\left(a+b\right)\left(-a+b\right)}.

$$\frac{\left(-2a+4b\right)\left(a+b\right)\left(-a+b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

Unuhia te tohu tōraro i roto o -a+b.

$$\frac{-\left(a+b\right)\left(a-b\right)\left(-2a+4b\right)}{\left(a+b\right)\left(a-b\right)\left(-2a+6b\right)}$$

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

$$\frac{-\left(-2a+4b\right)}{-2a+6b}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

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

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

Me whakaroha te kīanga.

$$\frac{a-2b}{-a+3b}$$