Whakaoti i te (3x-2)(3x+2)-(2x-5)^2

$$( 3 x - 2 ) ( 3 x + 2 ) - ( 2 x - 5 ) ^ { 2 }$$

Aromātai

$$5x^{2}+20x-29$$

Ngā Upane Otinga

Whakaarohia te \left(3x-2\right)\left(3x+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.

$$\left(3x\right)^{2}-4-\left(2x-5\right)^{2}$$

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

$$3^{2}x^{2}-4-\left(2x-5\right)^{2}$$

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

$$9x^{2}-4-\left(2x-5\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-5\right)^{2}.

$$9x^{2}-4-\left(4x^{2}-20x+25\right)$$

Hei kimi i te tauaro o 4x^{2}-20x+25, kimihia te tauaro o ia taurangi.

$$9x^{2}-4-4x^{2}+20x-25$$

Pahekotia te 9x^{2} me -4x^{2}, ka 5x^{2}.

$$5x^{2}-4+20x-25$$

Tangohia te 25 i te -4, ka -29.

$$5x^{2}-29+20x$$

Whakaroha

$$5x^{2}+20x-29$$

Ngā Upane Otinga

Whakaarohia te \left(3x-2\right)\left(3x+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.

$$\left(3x\right)^{2}-4-\left(2x-5\right)^{2}$$

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

$$3^{2}x^{2}-4-\left(2x-5\right)^{2}$$

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

$$9x^{2}-4-\left(2x-5\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-5\right)^{2}.

$$9x^{2}-4-\left(4x^{2}-20x+25\right)$$

Hei kimi i te tauaro o 4x^{2}-20x+25, kimihia te tauaro o ia taurangi.

$$9x^{2}-4-4x^{2}+20x-25$$

Pahekotia te 9x^{2} me -4x^{2}, ka 5x^{2}.

$$5x^{2}-4+20x-25$$

Tangohia te 25 i te -4, ka -29.

$$5x^{2}-29+20x$$