Whakaoti i te (a+b+c)-(a-b-c)*(2a+b)-(b+c)*(a+b)

$$( a + b + c ) - ( a - b - c ) \cdot ( 2 a + b ) - ( b + c ) \cdot ( a + b )$$

Aromātai

$$c+b+a+ac-2a^{2}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-b-c ki ia tau o 2a+b.

$$a+b+c-\left(2a^{2}+ab-2ba-b^{2}-2ca-cb\right)-\left(b+c\right)\left(a+b\right)$$

Pahekotia te ab me -2ba, ka -ab.

$$a+b+c-\left(2a^{2}-ab-b^{2}-2ca-cb\right)-\left(b+c\right)\left(a+b\right)$$

Hei kimi i te tauaro o 2a^{2}-ab-b^{2}-2ca-cb, kimihia te tauaro o ia taurangi.

$$a+b+c-2a^{2}-\left(-ab\right)-\left(-b^{2}\right)-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -ab ko ab.

$$a+b+c-2a^{2}+ab-\left(-b^{2}\right)-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -b^{2} ko b^{2}.

$$a+b+c-2a^{2}+ab+b^{2}-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -2ca ko 2ca.

$$a+b+c-2a^{2}+ab+b^{2}+2ca-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -cb ko cb.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-\left(b+c\right)\left(a+b\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o b+c ki ia tau o a+b.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-\left(ba+b^{2}+ca+cb\right)$$

Hei kimi i te tauaro o ba+b^{2}+ca+cb, kimihia te tauaro o ia taurangi.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-ba-b^{2}-ca-cb$$

Pahekotia te ab me -ba, ka 0.

$$a+b+c-2a^{2}+b^{2}+2ca+cb-b^{2}-ca-cb$$

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

$$a+b+c-2a^{2}+2ca+cb-ca-cb$$

Pahekotia te 2ca me -ca, ka ca.

$$a+b+c-2a^{2}+ca+cb-cb$$

Pahekotia te cb me -cb, ka 0.

$$a+b+c-2a^{2}+ca$$

Whakaroha

$$c+b+a+ac-2a^{2}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o a-b-c ki ia tau o 2a+b.

$$a+b+c-\left(2a^{2}+ab-2ba-b^{2}-2ca-cb\right)-\left(b+c\right)\left(a+b\right)$$

Pahekotia te ab me -2ba, ka -ab.

$$a+b+c-\left(2a^{2}-ab-b^{2}-2ca-cb\right)-\left(b+c\right)\left(a+b\right)$$

Hei kimi i te tauaro o 2a^{2}-ab-b^{2}-2ca-cb, kimihia te tauaro o ia taurangi.

$$a+b+c-2a^{2}-\left(-ab\right)-\left(-b^{2}\right)-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -ab ko ab.

$$a+b+c-2a^{2}+ab-\left(-b^{2}\right)-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -b^{2} ko b^{2}.

$$a+b+c-2a^{2}+ab+b^{2}-\left(-2ca\right)-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -2ca ko 2ca.

$$a+b+c-2a^{2}+ab+b^{2}+2ca-\left(-cb\right)-\left(b+c\right)\left(a+b\right)$$

Ko te tauaro o -cb ko cb.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-\left(b+c\right)\left(a+b\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o b+c ki ia tau o a+b.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-\left(ba+b^{2}+ca+cb\right)$$

Hei kimi i te tauaro o ba+b^{2}+ca+cb, kimihia te tauaro o ia taurangi.

$$a+b+c-2a^{2}+ab+b^{2}+2ca+cb-ba-b^{2}-ca-cb$$

Pahekotia te ab me -ba, ka 0.

$$a+b+c-2a^{2}+b^{2}+2ca+cb-b^{2}-ca-cb$$

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

$$a+b+c-2a^{2}+2ca+cb-ca-cb$$

Pahekotia te 2ca me -ca, ka ca.

$$a+b+c-2a^{2}+ca+cb-cb$$

Pahekotia te cb me -cb, ka 0.

$$a+b+c-2a^{2}+ca$$