Whakaoti i te (n+1+(2n-1^3))-(n+(2n-3))^3

$$( n + 1 + ( 2 n - 1 ^ { 3 } ) ) - ( n + ( 2 n - 3 ) ) ^ { 3 }$$

Aromātai

$$27-78n+81n^{2}-27n^{3}$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 3, kia riro ko 1.

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

Pahekotia te n me 2n, ka 3n.

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

Tangohia te 1 i te 1, ka 0.

$$3n-\left(n+2n-3\right)^{3}$$

Pahekotia te n me 2n, ka 3n.

$$3n-\left(3n-3\right)^{3}$$

Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(3n-3\right)^{3}.

$$3n-\left(27n^{3}-81n^{2}+81n-27\right)$$

Hei kimi i te tauaro o 27n^{3}-81n^{2}+81n-27, kimihia te tauaro o ia taurangi.

$$3n-27n^{3}+81n^{2}-81n+27$$

Pahekotia te 3n me -81n, ka -78n.

$$-78n-27n^{3}+81n^{2}+27$$

Whakaroha

$$27-78n+81n^{2}-27n^{3}$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 3, kia riro ko 1.

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

Pahekotia te n me 2n, ka 3n.

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

Tangohia te 1 i te 1, ka 0.

$$3n-\left(n+2n-3\right)^{3}$$

Pahekotia te n me 2n, ka 3n.

$$3n-\left(3n-3\right)^{3}$$

Whakamahia te ture huarua \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} hei whakaroha \left(3n-3\right)^{3}.

$$3n-\left(27n^{3}-81n^{2}+81n-27\right)$$

Hei kimi i te tauaro o 27n^{3}-81n^{2}+81n-27, kimihia te tauaro o ia taurangi.

$$3n-27n^{3}+81n^{2}-81n+27$$

Pahekotia te 3n me -81n, ka -78n.

$$-78n-27n^{3}+81n^{2}+27$$