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

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

Aromātai

$$5\left(x+2\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 3x ki te x+2.

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

Hei kimi i te tauaro o x-1, kimihia te tauaro o ia taurangi.

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

Pahekotia te 6x me -x, ka 5x.

$$3x^{2}+5x+1-\left(x+3\right)\left(x-3\right)-2x^{2}$$

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.

$$3x^{2}+5x+1-\left(x^{2}-9\right)-2x^{2}$$

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

$$3x^{2}+5x+1-x^{2}+9-2x^{2}$$

Pahekotia te 3x^{2} me -x^{2}, ka 2x^{2}.

$$2x^{2}+5x+1+9-2x^{2}$$

Tāpirihia te 1 ki te 9, ka 10.

$$2x^{2}+5x+10-2x^{2}$$

Pahekotia te 2x^{2} me -2x^{2}, ka 0.

$$5x+10$$

Whakaroha

$$5x+10$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 3x ki te x+2.

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

Hei kimi i te tauaro o x-1, kimihia te tauaro o ia taurangi.

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

Pahekotia te 6x me -x, ka 5x.

$$3x^{2}+5x+1-\left(x+3\right)\left(x-3\right)-2x^{2}$$

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.

$$3x^{2}+5x+1-\left(x^{2}-9\right)-2x^{2}$$

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

$$3x^{2}+5x+1-x^{2}+9-2x^{2}$$

Pahekotia te 3x^{2} me -x^{2}, ka 2x^{2}.

$$2x^{2}+5x+1+9-2x^{2}$$

Tāpirihia te 1 ki te 9, ka 10.

$$2x^{2}+5x+10-2x^{2}$$

Pahekotia te 2x^{2} me -2x^{2}, ka 0.

$$5x+10$$