Whakaoti i te a^3+b^3=(a+b)(a^2+b^2-ab)

$$a ^ { 3 } + b ^ { 3 } = ( a + b ) ( a ^ { 2 } + b ^ { 2 } - a b )$$

Whakaoti mō a (complex solution)

$$a\in \mathrm{C}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a^{2}+b^{2}-ab ka whakakotahi i ngā kupu rite.

$$a^{3}+b^{3}=a^{3}+b^{3}$$

Tangohia te a^{3} mai i ngā taha e rua.

$$a^{3}+b^{3}-a^{3}=b^{3}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$b^{3}=b^{3}$$

Whakaraupapatia anō ngā kīanga tau.

$$\text{true}$$

He pono tēnei mō tētahi a ahakoa.

$$a\in \mathrm{C}$$

Whakaoti mō b (complex solution)

$$b\in \mathrm{C}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a^{2}+b^{2}-ab ka whakakotahi i ngā kupu rite.

$$a^{3}+b^{3}=a^{3}+b^{3}$$

Tangohia te b^{3} mai i ngā taha e rua.

$$a^{3}+b^{3}-b^{3}=a^{3}$$

Pahekotia te b^{3} me -b^{3}, ka 0.

$$a^{3}=a^{3}$$

Whakaraupapatia anō ngā kīanga tau.

$$\text{true}$$

He pono tēnei mō tētahi b ahakoa.

$$b\in \mathrm{C}$$

Whakaoti mō a

$$a\in \mathrm{R}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a^{2}+b^{2}-ab ka whakakotahi i ngā kupu rite.

$$a^{3}+b^{3}=a^{3}+b^{3}$$

Tangohia te a^{3} mai i ngā taha e rua.

$$a^{3}+b^{3}-a^{3}=b^{3}$$

Pahekotia te a^{3} me -a^{3}, ka 0.

$$b^{3}=b^{3}$$

Whakaraupapatia anō ngā kīanga tau.

$$\text{true}$$

He pono tēnei mō tētahi a ahakoa.

$$a\in \mathrm{R}$$

Whakaoti mō b

$$b\in \mathrm{R}$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te a+b ki te a^{2}+b^{2}-ab ka whakakotahi i ngā kupu rite.

$$a^{3}+b^{3}=a^{3}+b^{3}$$

Tangohia te b^{3} mai i ngā taha e rua.

$$a^{3}+b^{3}-b^{3}=a^{3}$$

Pahekotia te b^{3} me -b^{3}, ka 0.

$$a^{3}=a^{3}$$

Whakaraupapatia anō ngā kīanga tau.

$$\text{true}$$

He pono tēnei mō tētahi b ahakoa.

$$b\in \mathrm{R}$$