Whakaoti i te -(9x+6)^2+(3x+7)(3x-7)

$$- ( 9 x + 6 ) ^ { 2 } + ( 3 x + 7 ) ( 3 x - 7 )$$

Aromātai

$$-72x^{2}-108x-85$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(9x+6\right)^{2}.

$$-\left(81x^{2}+108x+36\right)+\left(3x+7\right)\left(3x-7\right)$$

Hei kimi i te tauaro o 81x^{2}+108x+36, kimihia te tauaro o ia taurangi.

$$-81x^{2}-108x-36+\left(3x+7\right)\left(3x-7\right)$$

Whakaarohia te \left(3x+7\right)\left(3x-7\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 7.

$$-81x^{2}-108x-36+\left(3x\right)^{2}-49$$

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

$$-81x^{2}-108x-36+3^{2}x^{2}-49$$

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

$$-81x^{2}-108x-36+9x^{2}-49$$

Pahekotia te -81x^{2} me 9x^{2}, ka -72x^{2}.

$$-72x^{2}-108x-36-49$$

Tangohia te 49 i te -36, ka -85.

$$-72x^{2}-108x-85$$

Whakaroha

$$-72x^{2}-108x-85$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(9x+6\right)^{2}.

$$-\left(81x^{2}+108x+36\right)+\left(3x+7\right)\left(3x-7\right)$$

Hei kimi i te tauaro o 81x^{2}+108x+36, kimihia te tauaro o ia taurangi.

$$-81x^{2}-108x-36+\left(3x+7\right)\left(3x-7\right)$$

Whakaarohia te \left(3x+7\right)\left(3x-7\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 7.

$$-81x^{2}-108x-36+\left(3x\right)^{2}-49$$

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

$$-81x^{2}-108x-36+3^{2}x^{2}-49$$

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

$$-81x^{2}-108x-36+9x^{2}-49$$

Pahekotia te -81x^{2} me 9x^{2}, ka -72x^{2}.

$$-72x^{2}-108x-36-49$$

Tangohia te 49 i te -36, ka -85.

$$-72x^{2}-108x-85$$