Whakaoti i te (a+b)(a-b)=b(a-b)

$$( a + b ) ( a - b ) = b ( a - b )$$

Whakaoti mō b (complex solution)

$$\left\{\begin{matrix}\\b=a\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaarohia te \left(a+b\right)\left(a-b\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te b ki te a-b.

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

Tangohia te ba mai i ngā taha e rua.

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

Me tāpiri te b^{2} ki ngā taha e rua.

$$a^{2}-b^{2}-ba+b^{2}=0$$

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

$$a^{2}-ba=0$$

Tangohia te a^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-ba=-a^{2}$$

Me whakakore te -1 ki ngā taha e rua.

$$ba=a^{2}$$

He hanga arowhānui tō te whārite.

$$ab=a^{2}$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ab}{a}=\frac{a^{2}}{a}$$

Mā te whakawehe ki te a ka wetekia te whakareanga ki te a.

$$b=\frac{a^{2}}{a}$$

Whakawehe a^{2} ki te a.

$$b=a$$

Whakaoti mō b

$$\left\{\begin{matrix}\\b=a\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaarohia te \left(a+b\right)\left(a-b\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te b ki te a-b.

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

Tangohia te ba mai i ngā taha e rua.

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

Me tāpiri te b^{2} ki ngā taha e rua.

$$a^{2}-b^{2}-ba+b^{2}=0$$

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

$$a^{2}-ba=0$$

Tangohia te a^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-ba=-a^{2}$$

Me whakakore te -1 ki ngā taha e rua.

$$ba=a^{2}$$

He hanga arowhānui tō te whārite.

$$ab=a^{2}$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ab}{a}=\frac{a^{2}}{a}$$

Mā te whakawehe ki te a ka wetekia te whakareanga ki te a.

$$b=\frac{a^{2}}{a}$$

Whakawehe a^{2} ki te a.

$$b=a$$

Whakaoti mō a

$$a=b$$

$$a=0$$