Whakaoti i te -(3t-1)^2-(3t+2)(3t-2)

$$- ( 3 t - 1 ) ^ { 2 } - ( 3 t + 2 ) ( 3 t - 2 )$$

Aromātai

$$3+6t-18t^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3t-1\right)^{2}.

$$-\left(9t^{2}-6t+1\right)-\left(3t+2\right)\left(3t-2\right)$$

Hei kimi i te tauaro o 9t^{2}-6t+1, kimihia te tauaro o ia taurangi.

$$-9t^{2}+6t-1-\left(3t+2\right)\left(3t-2\right)$$

Whakaarohia te \left(3t+2\right)\left(3t-2\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}. Pūrua 2.

$$-9t^{2}+6t-1-\left(\left(3t\right)^{2}-4\right)$$

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

$$-9t^{2}+6t-1-\left(3^{2}t^{2}-4\right)$$

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

$$-9t^{2}+6t-1-\left(9t^{2}-4\right)$$

Hei kimi i te tauaro o 9t^{2}-4, kimihia te tauaro o ia taurangi.

$$-9t^{2}+6t-1-9t^{2}+4$$

Pahekotia te -9t^{2} me -9t^{2}, ka -18t^{2}.

$$-18t^{2}+6t-1+4$$

Tāpirihia te -1 ki te 4, ka 3.

$$-18t^{2}+6t+3$$

Whakaroha

$$3+6t-18t^{2}$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3t-1\right)^{2}.

$$-\left(9t^{2}-6t+1\right)-\left(3t+2\right)\left(3t-2\right)$$

Hei kimi i te tauaro o 9t^{2}-6t+1, kimihia te tauaro o ia taurangi.

$$-9t^{2}+6t-1-\left(3t+2\right)\left(3t-2\right)$$

Whakaarohia te \left(3t+2\right)\left(3t-2\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}. Pūrua 2.

$$-9t^{2}+6t-1-\left(\left(3t\right)^{2}-4\right)$$

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

$$-9t^{2}+6t-1-\left(3^{2}t^{2}-4\right)$$

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

$$-9t^{2}+6t-1-\left(9t^{2}-4\right)$$

Hei kimi i te tauaro o 9t^{2}-4, kimihia te tauaro o ia taurangi.

$$-9t^{2}+6t-1-9t^{2}+4$$

Pahekotia te -9t^{2} me -9t^{2}, ka -18t^{2}.

$$-18t^{2}+6t-1+4$$

Tāpirihia te -1 ki te 4, ka 3.

$$-18t^{2}+6t+3$$