Whakaoti i te 3a/a+b+ab-5a^2/a^2-b^2+2a/a-b

$$\frac { 3 a } { a + b } + \frac { a b - 5 a ^ { 2 } } { a ^ { 2 } - b ^ { 2 } } + \frac { 2 a } { a - b }$$

Aromātai

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Ngā Hipanga Rongoā Poto

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

$$\frac{3a}{a+b}+\frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

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

$$\frac{3a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}+\frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

Tā te mea he rite te tauraro o \frac{3a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)} me \frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3a\left(a-b\right)+ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

Mahia ngā whakarea i roto o 3a\left(a-b\right)+ab-5a^{2}.

$$\frac{3a^{2}-3ab+ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

Whakakotahitia ngā kupu rite i 3a^{2}-3ab+ab-5a^{2}.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{-2a^{2}-2ab}{\left(a+b\right)\left(a-b\right)}.

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

Unuhia te tohu tōraro i roto o -a-b.

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

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

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

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

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

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

$$\frac{0}{a-b}$$

Ina whakawehea te kore ki te tau ehara i te kore ka kore tonu.

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Tauwehe

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