Whakaoti i te (x-1)^2+(x+2)^2-(x-3)(x+3)-22

$$( x - 1 ) ^ { 2 } + ( x + 2 ) ^ { 2 } - ( x - 3 ) ( x + 3 ) - 22$$

Aromātai

$$\left(x-2\right)\left(x+4\right)$$

Ngā Upane Otinga

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

$$x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22$$

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

$$x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22$$

Pahekotia te -2x me 4x, ka 2x.

$$2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22$$

Tāpirihia te 1 ki te 4, ka 5.

$$2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}+2x+5-\left(x^{2}-9\right)-22$$

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

$$2x^{2}+2x+5-x^{2}+9-22$$

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

$$x^{2}+2x+5+9-22$$

Tāpirihia te 5 ki te 9, ka 14.

$$x^{2}+2x+14-22$$

Tangohia te 22 i te 14, ka -8.

$$x^{2}+2x-8$$

Whakaroha

$$x^{2}+2x-8$$

Ngā Upane Otinga

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

$$x^{2}-2x+1+\left(x+2\right)^{2}-\left(x-3\right)\left(x+3\right)-22$$

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

$$x^{2}-2x+1+x^{2}+4x+4-\left(x-3\right)\left(x+3\right)-22$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$2x^{2}-2x+1+4x+4-\left(x-3\right)\left(x+3\right)-22$$

Pahekotia te -2x me 4x, ka 2x.

$$2x^{2}+2x+1+4-\left(x-3\right)\left(x+3\right)-22$$

Tāpirihia te 1 ki te 4, ka 5.

$$2x^{2}+2x+5-\left(x-3\right)\left(x+3\right)-22$$

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

$$2x^{2}+2x+5-\left(x^{2}-9\right)-22$$

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

$$2x^{2}+2x+5-x^{2}+9-22$$

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

$$x^{2}+2x+5+9-22$$

Tāpirihia te 5 ki te 9, ka 14.

$$x^{2}+2x+14-22$$

Tangohia te 22 i te 14, ka -8.

$$x^{2}+2x-8$$