Whakaoti i te (sqrt{2}a-3sqrt{b})(sqrt{2}a+3sqrt{b})

$$( \sqrt { 2 } a - 3 \sqrt { b } ) ( \sqrt { 2 } a + 3 \sqrt { b } )$$

Aromātai

$$2a^{2}-9b$$

Ngā Upane Otinga

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}.

$$\left(\sqrt{2}a\right)^{2}-\left(3\sqrt{b}\right)^{2}$$

Whakarohaina te \left(\sqrt{2}a\right)^{2}.

$$\left(\sqrt{2}\right)^{2}a^{2}-\left(3\sqrt{b}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$2a^{2}-\left(3\sqrt{b}\right)^{2}$$

Whakarohaina te \left(3\sqrt{b}\right)^{2}.

$$2a^{2}-3^{2}\left(\sqrt{b}\right)^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$2a^{2}-9\left(\sqrt{b}\right)^{2}$$

Tātaihia te \sqrt{b} mā te pū o 2, kia riro ko b.

$$2a^{2}-9b$$

Kimi Pārōnaki e ai ki a

$$4a$$