Whakaoti i te 1003/1002*1001^2=A/1002+B/1001+C/1001^2

$$\frac { 1003 } { 1002 \times 1001 ^ { 2 } } = \frac { A } { 1002 } + \frac { B } { 1001 } + \frac { C } { 1001 ^ { 2 } }$$

Whakaoti mō A

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 1003002, arā, te tauraro pātahi he tino iti rawa te kitea o 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Whakareatia te \frac{1}{1001} ki te 1003, ka \frac{1003}{1001}.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Tangohia te 1002B mai i ngā taha e rua.

$$1001A+\frac{1002}{1001}C=\frac{1003}{1001}-1002B$$

Tangohia te \frac{1002}{1001}C mai i ngā taha e rua.

$$1001A=\frac{1003}{1001}-1002B-\frac{1002}{1001}C$$

He hanga arowhānui tō te whārite.

$$1001A=-\frac{1002C}{1001}-1002B+\frac{1003}{1001}$$

Whakawehea ngā taha e rua ki te 1001.

$$\frac{1001A}{1001}=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Mā te whakawehe ki te 1001 ka wetekia te whakareanga ki te 1001.

$$A=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Whakawehe \frac{1003}{1001}-1002B-\frac{1002C}{1001} ki te 1001.

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Whakaoti mō B

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 1003002, arā, te tauraro pātahi he tino iti rawa te kitea o 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Whakareatia te \frac{1}{1001} ki te 1003, ka \frac{1003}{1001}.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Tangohia te 1001A mai i ngā taha e rua.

$$1002B+\frac{1002}{1001}C=\frac{1003}{1001}-1001A$$

Tangohia te \frac{1002}{1001}C mai i ngā taha e rua.

$$1002B=\frac{1003}{1001}-1001A-\frac{1002}{1001}C$$

He hanga arowhānui tō te whārite.

$$1002B=-\frac{1002C}{1001}-1001A+\frac{1003}{1001}$$

Whakawehea ngā taha e rua ki te 1002.

$$\frac{1002B}{1002}=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Mā te whakawehe ki te 1002 ka wetekia te whakareanga ki te 1002.

$$B=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Whakawehe \frac{1003}{1001}-1001A-\frac{1002C}{1001} ki te 1002.

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$