Whakaoti i te (3a+2b)(3a-2b)-(a-2b)^2

$$( 3 a + 2 b ) ( 3 a - 2 b ) - ( a - 2 b ) ^ { 2 }$$

Aromātai

$$4\left(2a^{2}+ab-2b^{2}\right)$$

Ngā Upane Otinga

Whakaarohia te \left(3a+2b\right)\left(3a-2b\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}.

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

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

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

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

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

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

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

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

$$9a^{2}-4b^{2}-\left(a-2b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-2b\right)^{2}.

$$9a^{2}-4b^{2}-\left(a^{2}-4ab+4b^{2}\right)$$

Hei kimi i te tauaro o a^{2}-4ab+4b^{2}, kimihia te tauaro o ia taurangi.

$$9a^{2}-4b^{2}-a^{2}+4ab-4b^{2}$$

Pahekotia te 9a^{2} me -a^{2}, ka 8a^{2}.

$$8a^{2}-4b^{2}+4ab-4b^{2}$$

Pahekotia te -4b^{2} me -4b^{2}, ka -8b^{2}.

$$8a^{2}-8b^{2}+4ab$$

Whakaroha

$$8a^{2}+4ab-8b^{2}$$

Ngā Upane Otinga

Whakaarohia te \left(3a+2b\right)\left(3a-2b\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}.

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

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

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

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

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

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

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

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

$$9a^{2}-4b^{2}-\left(a-2b\right)^{2}$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-2b\right)^{2}.

$$9a^{2}-4b^{2}-\left(a^{2}-4ab+4b^{2}\right)$$

Hei kimi i te tauaro o a^{2}-4ab+4b^{2}, kimihia te tauaro o ia taurangi.

$$9a^{2}-4b^{2}-a^{2}+4ab-4b^{2}$$

Pahekotia te 9a^{2} me -a^{2}, ka 8a^{2}.

$$8a^{2}-4b^{2}+4ab-4b^{2}$$

Pahekotia te -4b^{2} me -4b^{2}, ka -8b^{2}.

$$8a^{2}-8b^{2}+4ab$$