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

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

Aromātai

$$48x^{2}+6x-13$$

Ngā Upane Otinga

Whakaarohia te \left(7x-2\right)\left(7x+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.

$$\left(7x\right)^{2}-4-\left(x-3\right)^{2}$$

Whakarohaina te \left(7x\right)^{2}.

$$7^{2}x^{2}-4-\left(x-3\right)^{2}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$49x^{2}-4-\left(x-3\right)^{2}$$

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

$$49x^{2}-4-\left(x^{2}-6x+9\right)$$

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

$$49x^{2}-4-x^{2}+6x-9$$

Pahekotia te 49x^{2} me -x^{2}, ka 48x^{2}.

$$48x^{2}-4+6x-9$$

Tangohia te 9 i te -4, ka -13.

$$48x^{2}-13+6x$$

Whakaroha

$$48x^{2}+6x-13$$

Ngā Upane Otinga

Whakaarohia te \left(7x-2\right)\left(7x+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.

$$\left(7x\right)^{2}-4-\left(x-3\right)^{2}$$

Whakarohaina te \left(7x\right)^{2}.

$$7^{2}x^{2}-4-\left(x-3\right)^{2}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$49x^{2}-4-\left(x-3\right)^{2}$$

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

$$49x^{2}-4-\left(x^{2}-6x+9\right)$$

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

$$49x^{2}-4-x^{2}+6x-9$$

Pahekotia te 49x^{2} me -x^{2}, ka 48x^{2}.

$$48x^{2}-4+6x-9$$

Tangohia te 9 i te -4, ka -13.

$$48x^{2}-13+6x$$