Whakaoti i te left(3u^2+14uright)left(2u^-3+u^-4right)+left(u^3+7{u}^2-8right)left(-6{u}^-4-4{u}^-5right)

$$\left( 3 { u }^{ 2 } +14u \right) \left( 2 { u }^{ -3 } + { u }^{ -4 } \right) + \left( { u }^{ 3 } +7 { u }^{ 2 } -8 \right) \left( -6 { u }^{ -4 } -4 { u }^{ -5 } \right)$$

Aromātai

$$\frac{\left(u+2\right)\left(16+16u-15u^{2}\right)}{u^{5}}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 3u^{2}+14u ki te 2u^{-3}+u^{-4}.

$$6u^{-1}+3u^{2}u^{-4}+28u^{-2}+14uu^{-4}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -4 kia riro ai te -2.

$$6u^{-1}+3u^{-2}+28u^{-2}+14uu^{-4}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -4 kia riro ai te -3.

$$6u^{-1}+3u^{-2}+28u^{-2}+14u^{-3}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Pahekotia te 3u^{-2} me 28u^{-2}, ka 31u^{-2}.

$$6u^{-1}+31u^{-2}+14u^{-3}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te u^{3}+7u^{2}-8 ki te -6u^{-4}-4u^{-5}.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{3}u^{-4}-4u^{3}u^{-5}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te -4 kia riro ai te -1.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-4u^{3}u^{-5}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te -5 kia riro ai te -2.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-4u^{-2}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te -4u^{-2} me -42u^{-2}, ka -46u^{-2}.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-46u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 6u^{-1} me -6u^{-1}, ka 0.

$$31u^{-2}+14u^{-3}-46u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 31u^{-2} me -46u^{-2}, ka -15u^{-2}.

$$-15u^{-2}+14u^{-3}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 14u^{-3} me -28u^{-3}, ka -14u^{-3}.

$$-15u^{-2}-14u^{-3}+48u^{-4}+32u^{-5}$$

Whakaroha

$$\frac{32+48u-14u^{2}-15u^{3}}{u^{5}}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 3u^{2}+14u ki te 2u^{-3}+u^{-4}.

$$6u^{-1}+3u^{2}u^{-4}+28u^{-2}+14uu^{-4}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -4 kia riro ai te -2.

$$6u^{-1}+3u^{-2}+28u^{-2}+14uu^{-4}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -4 kia riro ai te -3.

$$6u^{-1}+3u^{-2}+28u^{-2}+14u^{-3}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Pahekotia te 3u^{-2} me 28u^{-2}, ka 31u^{-2}.

$$6u^{-1}+31u^{-2}+14u^{-3}+\left(u^{3}+7u^{2}-8\right)\left(-6u^{-4}-4u^{-5}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te u^{3}+7u^{2}-8 ki te -6u^{-4}-4u^{-5}.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{3}u^{-4}-4u^{3}u^{-5}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te -4 kia riro ai te -1.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-4u^{3}u^{-5}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te -5 kia riro ai te -2.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-4u^{-2}-42u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te -4u^{-2} me -42u^{-2}, ka -46u^{-2}.

$$6u^{-1}+31u^{-2}+14u^{-3}-6u^{-1}-46u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 6u^{-1} me -6u^{-1}, ka 0.

$$31u^{-2}+14u^{-3}-46u^{-2}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 31u^{-2} me -46u^{-2}, ka -15u^{-2}.

$$-15u^{-2}+14u^{-3}-28u^{-3}+48u^{-4}+32u^{-5}$$

Pahekotia te 14u^{-3} me -28u^{-3}, ka -14u^{-3}.

$$-15u^{-2}-14u^{-3}+48u^{-4}+32u^{-5}$$