Whakaoti i te (a+b)^2=(a+b)*(a+b)

$$( a + b ) ^ { 2 } = ( a + b ) \cdot ( a + b )$$

Whakaoti mō a (complex solution)

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

Ngā Upane Otinga

Whakareatia te a+b ki te a+b, ka \left(a+b\right)^{2}.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Tangohia te a^{2} mai i ngā taha e rua.

$$a^{2}+2ab+b^{2}-a^{2}=2ab+b^{2}$$

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

$$2ab+b^{2}=2ab+b^{2}$$

Tangohia te 2ab mai i ngā taha e rua.

$$2ab+b^{2}-2ab=b^{2}$$

Pahekotia te 2ab me -2ab, ka 0.

$$b^{2}=b^{2}$$

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

Whakareatia te a+b ki te a+b, ka \left(a+b\right)^{2}.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Tangohia te 2ab mai i ngā taha e rua.

$$a^{2}+2ab+b^{2}-2ab=a^{2}+b^{2}$$

Pahekotia te 2ab me -2ab, ka 0.

$$a^{2}+b^{2}=a^{2}+b^{2}$$

Tangohia te b^{2} mai i ngā taha e rua.

$$a^{2}+b^{2}-b^{2}=a^{2}$$

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

$$a^{2}=a^{2}$$

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

Whakareatia te a+b ki te a+b, ka \left(a+b\right)^{2}.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Tangohia te a^{2} mai i ngā taha e rua.

$$a^{2}+2ab+b^{2}-a^{2}=2ab+b^{2}$$

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

$$2ab+b^{2}=2ab+b^{2}$$

Tangohia te 2ab mai i ngā taha e rua.

$$2ab+b^{2}-2ab=b^{2}$$

Pahekotia te 2ab me -2ab, ka 0.

$$b^{2}=b^{2}$$

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

Whakareatia te a+b ki te a+b, ka \left(a+b\right)^{2}.

$$\left(a+b\right)^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+b\right)^{2}.

$$a^{2}+2ab+b^{2}=a^{2}+2ab+b^{2}$$

Tangohia te 2ab mai i ngā taha e rua.

$$a^{2}+2ab+b^{2}-2ab=a^{2}+b^{2}$$

Pahekotia te 2ab me -2ab, ka 0.

$$a^{2}+b^{2}=a^{2}+b^{2}$$

Tangohia te b^{2} mai i ngā taha e rua.

$$a^{2}+b^{2}-b^{2}=a^{2}$$

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

$$a^{2}=a^{2}$$

Whakaraupapatia anō ngā kīanga tau.

$$\text{true}$$

He pono tēnei mō tētahi b ahakoa.

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