Whakaoti i te (2ab/4a^2-9b^2+b/3b-2a):(1-2a-3b/2a+3b)

$$( \frac { 2 a b } { 4 a ^ { 2 } - 9 b ^ { 2 } } + \frac { b } { 3 b - 2 a } ) : ( 1 - \frac { 2 a - 3 b } { 2 a + 3 b } )$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Tauwehea te 4a^{2}-9b^{2}.

$$\frac{\frac{2ab}{\left(2a-3b\right)\left(2a+3b\right)}+\frac{b}{3b-2a}}{1-\frac{2a-3b}{2a+3b}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(2a-3b\right)\left(2a+3b\right) me 3b-2a ko \left(-2a-3b\right)\left(2a-3b\right). Whakareatia \frac{2ab}{\left(2a-3b\right)\left(2a+3b\right)} ki te \frac{-1}{-1}. Whakareatia \frac{b}{3b-2a} ki te \frac{-\left(-2a-3b\right)}{-\left(-2a-3b\right)}.

$$\frac{\frac{-2ab}{\left(-2a-3b\right)\left(2a-3b\right)}+\frac{b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Tā te mea he rite te tauraro o \frac{-2ab}{\left(-2a-3b\right)\left(2a-3b\right)} me \frac{b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-2ab+b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Mahia ngā whakarea i roto o -2ab+b\left(-1\right)\left(-2a-3b\right).

$$\frac{\frac{-2ab+2ba+3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

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

$$\frac{\frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{2a+3b}{2a+3b}.

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

Tā te mea he rite te tauraro o \frac{2a+3b}{2a+3b} me \frac{2a-3b}{2a+3b}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 2a+3b-\left(2a-3b\right).

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

Whakakotahitia ngā kupu rite i 2a+3b-2a+3b.

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

Whakawehe \frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)} ki te \frac{6b}{2a+3b} mā te whakarea \frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)} ki te tau huripoki o \frac{6b}{2a+3b}.

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

Unuhia te tohu tōraro i roto o 2a+3b.

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

Me whakakore tahi te 3b\left(-2a-3b\right) i te taurunga me te tauraro.

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

Me whakakore tahi te -1 i te taurunga me te tauraro.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 2a-3b.

$$\frac{b}{-4a+6b}$$

Whakaroha

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

Ngā Hipanga Rongoā Poto

Tauwehea te 4a^{2}-9b^{2}.

$$\frac{\frac{2ab}{\left(2a-3b\right)\left(2a+3b\right)}+\frac{b}{3b-2a}}{1-\frac{2a-3b}{2a+3b}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o \left(2a-3b\right)\left(2a+3b\right) me 3b-2a ko \left(-2a-3b\right)\left(2a-3b\right). Whakareatia \frac{2ab}{\left(2a-3b\right)\left(2a+3b\right)} ki te \frac{-1}{-1}. Whakareatia \frac{b}{3b-2a} ki te \frac{-\left(-2a-3b\right)}{-\left(-2a-3b\right)}.

$$\frac{\frac{-2ab}{\left(-2a-3b\right)\left(2a-3b\right)}+\frac{b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Tā te mea he rite te tauraro o \frac{-2ab}{\left(-2a-3b\right)\left(2a-3b\right)} me \frac{b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-2ab+b\left(-1\right)\left(-2a-3b\right)}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Mahia ngā whakarea i roto o -2ab+b\left(-1\right)\left(-2a-3b\right).

$$\frac{\frac{-2ab+2ba+3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

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

$$\frac{\frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)}}{1-\frac{2a-3b}{2a+3b}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{2a+3b}{2a+3b}.

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

Tā te mea he rite te tauraro o \frac{2a+3b}{2a+3b} me \frac{2a-3b}{2a+3b}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 2a+3b-\left(2a-3b\right).

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

Whakakotahitia ngā kupu rite i 2a+3b-2a+3b.

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

Whakawehe \frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)} ki te \frac{6b}{2a+3b} mā te whakarea \frac{3b^{2}}{\left(-2a-3b\right)\left(2a-3b\right)} ki te tau huripoki o \frac{6b}{2a+3b}.

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

Unuhia te tohu tōraro i roto o 2a+3b.

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

Me whakakore tahi te 3b\left(-2a-3b\right) i te taurunga me te tauraro.

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

Me whakakore tahi te -1 i te taurunga me te tauraro.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 2a-3b.

$$\frac{b}{-4a+6b}$$