Whakaoti i te (11r+4si)(11r-4si)

$$( 11 r + 4 s i ) ( 11 r - 4 s i )$$

Aromātai

$$121r^{2}+16s^{2}$$

Ngā Upane Otinga

Whakareatia te 4 ki te i, ka 4i.

$$\left(11r+4is\right)\left(11r-4si\right)$$

Whakareatia te 4 ki te i, ka 4i.

$$\left(11r+4is\right)\left(11r-4is\right)$$

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}.

$$\left(11r\right)^{2}-\left(4is\right)^{2}$$

Whakarohaina te \left(11r\right)^{2}.

$$11^{2}r^{2}-\left(4is\right)^{2}$$

Tātaihia te 11 mā te pū o 2, kia riro ko 121.

$$121r^{2}-\left(4is\right)^{2}$$

Whakarohaina te \left(4is\right)^{2}.

$$121r^{2}-\left(4i\right)^{2}s^{2}$$

Tātaihia te 4i mā te pū o 2, kia riro ko -16.

$$121r^{2}-\left(-16s^{2}\right)$$

Ko te tauaro o -16s^{2} ko 16s^{2}.

$$121r^{2}+16s^{2}$$

Whakaroha

$$121r^{2}+16s^{2}$$

Ngā Upane Otinga

Whakareatia te 4 ki te i, ka 4i.

$$\left(11r+4is\right)\left(11r-4si\right)$$

Whakareatia te 4 ki te i, ka 4i.

$$\left(11r+4is\right)\left(11r-4is\right)$$

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}.

$$\left(11r\right)^{2}-\left(4is\right)^{2}$$

Whakarohaina te \left(11r\right)^{2}.

$$11^{2}r^{2}-\left(4is\right)^{2}$$

Tātaihia te 11 mā te pū o 2, kia riro ko 121.

$$121r^{2}-\left(4is\right)^{2}$$

Whakarohaina te \left(4is\right)^{2}.

$$121r^{2}-\left(4i\right)^{2}s^{2}$$

Tātaihia te 4i mā te pū o 2, kia riro ko -16.

$$121r^{2}-\left(-16s^{2}\right)$$

Ko te tauaro o -16s^{2} ko 16s^{2}.

$$121r^{2}+16s^{2}$$