Whakaoti i te [K(7-K)]^2-4(2K)(-3K^2)

$$[ K ( 7 - K ) ] ^ { 2 } - 4 ( 2 K ) ( - 3 K ^ { 2 } )$$

Aromātai

$$K^{2}\left(K^{2}+10K+49\right)$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\left(K\left(7-K\right)\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te K ki te 7-K.

$$\left(7K-K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(7K-K^{2}\right)^{2}.

$$49K^{2}-14KK^{2}+\left(K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$49K^{2}-14K^{3}+\left(K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$49K^{2}-14K^{3}+K^{4}-4\times 2K^{3}\left(-3\right)$$

Whakareatia te 4 ki te 2, ka 8.

$$49K^{2}-14K^{3}+K^{4}-8K^{3}\left(-3\right)$$

Whakareatia te 8 ki te -3, ka -24.

$$49K^{2}-14K^{3}+K^{4}-\left(-24K^{3}\right)$$

Ko te tauaro o -24K^{3} ko 24K^{3}.

$$49K^{2}-14K^{3}+K^{4}+24K^{3}$$

Pahekotia te -14K^{3} me 24K^{3}, ka 10K^{3}.

$$49K^{2}+10K^{3}+K^{4}$$

Whakaroha

$$K^{4}+10K^{3}+49K^{2}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\left(K\left(7-K\right)\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te K ki te 7-K.

$$\left(7K-K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(7K-K^{2}\right)^{2}.

$$49K^{2}-14KK^{2}+\left(K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$49K^{2}-14K^{3}+\left(K^{2}\right)^{2}-4\times 2K^{3}\left(-3\right)$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$49K^{2}-14K^{3}+K^{4}-4\times 2K^{3}\left(-3\right)$$

Whakareatia te 4 ki te 2, ka 8.

$$49K^{2}-14K^{3}+K^{4}-8K^{3}\left(-3\right)$$

Whakareatia te 8 ki te -3, ka -24.

$$49K^{2}-14K^{3}+K^{4}-\left(-24K^{3}\right)$$

Ko te tauaro o -24K^{3} ko 24K^{3}.

$$49K^{2}-14K^{3}+K^{4}+24K^{3}$$

Pahekotia te -14K^{3} me 24K^{3}, ka 10K^{3}.

$$49K^{2}+10K^{3}+K^{4}$$