Whakaoti i te frac{a^{2}+b^{2}}{ab}-a^2/ab-b^2+b^2/a^2-ab=

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

Aromātai

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Ngā Hipanga Rongoā Poto

Tauwehea te ab-b^{2}.

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

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

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

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

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

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

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

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

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{b^{2}a-a^{2}b-b^{3}}{ab\left(a-b\right)}.

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

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

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

Tauwehea te a^{2}-ab.

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

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

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

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

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

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

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

Unuhia te tohu tōraro i roto o -a+b.

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

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

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Tauwehe

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