Whakaoti i te abc=1.text{provethat}:1/1+a+b^-1+1/1+b+c^-1+1/1+c+a^-1=1

$$a b c = 1 . \text { prove that } : \frac { 1 } { 1 + a + b ^ { - 1 } } + \frac { 1 } { 1 + b + c ^ { - 1 } } + \frac { 1 } { 1 + c + a ^ { - 1 } } = 1$$

Whakaoti mō a

$$a=\frac{1}{bc}$$

$$c\neq 0\text{ and }b\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$bca=1$$

Whakawehea ngā taha e rua ki te bc.

$$\frac{bca}{bc}=\frac{1}{bc}$$

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

$$a=\frac{1}{bc}$$

Whakaoti mō b

$$b=\frac{1}{ac}$$

$$c\neq 0\text{ and }a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$acb=1$$

Whakawehea ngā taha e rua ki te ac.

$$\frac{acb}{ac}=\frac{1}{ac}$$

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

$$b=\frac{1}{ac}$$