Whakaoti i te =y^2-y^3-1/y+frac{1{y+1}}

$$= y ^ { 2 } - \frac { y ^ { 3 } - 1 } { y + \frac { 1 } { y + 1 } }$$

Aromātai

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Ngā Hipanga Rongoā Poto

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

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

Tā te mea he rite te tauraro o \frac{y\left(y+1\right)}{y+1} me \frac{1}{y+1}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o y\left(y+1\right)+1.

$$y^{2}-\frac{y^{3}-1}{\frac{y^{2}+y+1}{y+1}}$$

Whakawehe y^{3}-1 ki te \frac{y^{2}+y+1}{y+1} mā te whakarea y^{3}-1 ki te tau huripoki o \frac{y^{2}+y+1}{y+1}.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(y^{3}-1\right)\left(y+1\right)}{y^{2}+y+1}.

$$y^{2}-\frac{\left(y-1\right)\left(y+1\right)\left(y^{2}+y+1\right)}{y^{2}+y+1}$$

Me whakakore tahi te y^{2}+y+1 i te taurunga me te tauraro.

$$y^{2}-\left(y-1\right)\left(y+1\right)$$

Me whakaroha te kīanga.

$$y^{2}-\left(y^{2}-1\right)$$

Hei kimi i te tauaro o y^{2}-1, kimihia te tauaro o ia taurangi.

$$y^{2}-y^{2}+1$$

Pahekotia te y^{2} me -y^{2}, ka 0.

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Tauwehe

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