Whakaoti i te (3a+2b)(3a-2b)-4(3a+2b)

$$( 3 a + 2 b ) ( 3 a - 2 b ) - 4 ( 3 a + 2 b )$$

Aromātai

$$\left(3a-2b-4\right)\left(3a+2b\right)$$

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}.

$$\left(3a\right)^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$3^{2}a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-2^{2}b^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-4b^{2}-4\left(3a+2b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 3a+2b.

$$9a^{2}-4b^{2}-12a-8b$$

Whakaroha

$$9a^{2}-12a-4b^{2}-8b$$

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}.

$$\left(3a\right)^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$3^{2}a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-\left(2b\right)^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-2^{2}b^{2}-4\left(3a+2b\right)$$

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

$$9a^{2}-4b^{2}-4\left(3a+2b\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 3a+2b.

$$9a^{2}-4b^{2}-12a-8b$$