Whakaoti i te (x-a)(x^{2}+ax+a^2)-a^2x-(x+a)(x-a)(x-1)+a^2(a-3)+(2a-x)^2

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

Aromātai

$$2x\left(x-2a\right)$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te x-a ki te x^{2}+ax+a^{2} ka whakakotahi i ngā kupu rite.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te x+a ki te x-a ka whakakotahi i ngā kupu rite.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-a^{2} ki te x-1.

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

Hei kimi i te tauaro o x^{3}-x^{2}-a^{2}x+a^{2}, kimihia te tauaro o ia taurangi.

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

Whakamahia te āhuatanga tohatoha hei whakarea te a^{2} ki te a-3.

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

Pahekotia te -a^{2} me -3a^{2}, ka -4a^{2}.

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

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(2a-x\right)^{2}.

$$x^{3}-a^{3}-a^{2}x-x^{3}+x^{2}+a^{2}x-4a^{2}+a^{3}+4a^{2}-4ax+x^{2}$$

Pahekotia te -4a^{2} me 4a^{2}, ka 0.

$$x^{3}-a^{3}-a^{2}x-x^{3}+x^{2}+a^{2}x+a^{3}-4ax+x^{2}$$

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

$$x^{3}-a^{3}-a^{2}x-x^{3}+2x^{2}+a^{2}x+a^{3}-4ax$$

Pahekotia te x^{3} me -x^{3}, ka 0.

$$-a^{3}-a^{2}x+2x^{2}+a^{2}x+a^{3}-4ax$$

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

$$-a^{3}+2x^{2}+a^{3}-4ax$$

Pahekotia te -a^{3} me a^{3}, ka 0.

$$2x^{2}-4ax$$

Whakaroha

$$2x^{2}-4ax$$

Ngā Upane Otinga

Whakamahia te āhuatanga tuaritanga hei whakarea te x-a ki te x^{2}+ax+a^{2} ka whakakotahi i ngā kupu rite.

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

Whakamahia te āhuatanga tuaritanga hei whakarea te x+a ki te x-a ka whakakotahi i ngā kupu rite.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x^{2}-a^{2} ki te x-1.

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

Hei kimi i te tauaro o x^{3}-x^{2}-a^{2}x+a^{2}, kimihia te tauaro o ia taurangi.

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

Whakamahia te āhuatanga tohatoha hei whakarea te a^{2} ki te a-3.

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

Pahekotia te -a^{2} me -3a^{2}, ka -4a^{2}.

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

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(2a-x\right)^{2}.

$$x^{3}-a^{3}-a^{2}x-x^{3}+x^{2}+a^{2}x-4a^{2}+a^{3}+4a^{2}-4ax+x^{2}$$

Pahekotia te -4a^{2} me 4a^{2}, ka 0.

$$x^{3}-a^{3}-a^{2}x-x^{3}+x^{2}+a^{2}x+a^{3}-4ax+x^{2}$$

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

$$x^{3}-a^{3}-a^{2}x-x^{3}+2x^{2}+a^{2}x+a^{3}-4ax$$

Pahekotia te x^{3} me -x^{3}, ka 0.

$$-a^{3}-a^{2}x+2x^{2}+a^{2}x+a^{3}-4ax$$

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

$$-a^{3}+2x^{2}+a^{3}-4ax$$

Pahekotia te -a^{3} me a^{3}, ka 0.

$$2x^{2}-4ax$$