Whakaoti i te 2(x+y)(-x-y)-(2x+y)(-2x+y)

$$2 ( x + y ) ( - x - y ) - ( 2 x + y ) ( - 2 x + y )$$

Aromātai

$$2x^{2}-4xy-3y^{2}$$

Ngā Upane Otinga

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

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+2y ki ia tau o -x-y.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(2x+y\right)\left(-2x+y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+y ki ia tau o -2x+y.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}+2xy-2yx+y^{2}\right)$$

Pahekotia te 2xy me -2yx, ka 0.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}+y^{2}\right)$$

Hei kimi i te tauaro o -4x^{2}+y^{2}, kimihia te tauaro o ia taurangi.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}\right)-y^{2}$$

Ko te tauaro o -4x^{2} ko 4x^{2}.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}+4x^{2}-y^{2}$$

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

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

Whakareatia te 2 ki te -1, ka -2.

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

Whakareatia te x ki te x, ka x^{2}.

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

Whakareatia te 2 ki te -1, ka -2.

$$-2x^{2}-2xy-2yx-3y^{2}+4x^{2}$$

Pahekotia te -2xy me -2yx, ka -4xy.

$$-2x^{2}-4xy-3y^{2}+4x^{2}$$

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

$$2x^{2}-4xy-3y^{2}$$

Whakaroha

$$2x^{2}-4xy-3y^{2}$$

Ngā Upane Otinga

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

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

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+2y ki ia tau o -x-y.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(2x+y\right)\left(-2x+y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+y ki ia tau o -2x+y.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}+2xy-2yx+y^{2}\right)$$

Pahekotia te 2xy me -2yx, ka 0.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}+y^{2}\right)$$

Hei kimi i te tauaro o -4x^{2}+y^{2}, kimihia te tauaro o ia taurangi.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}-\left(-4x^{2}\right)-y^{2}$$

Ko te tauaro o -4x^{2} ko 4x^{2}.

$$2x\left(-x\right)-2xy+2y\left(-x\right)-2y^{2}+4x^{2}-y^{2}$$

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

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

Whakareatia te 2 ki te -1, ka -2.

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

Whakareatia te x ki te x, ka x^{2}.

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

Whakareatia te 2 ki te -1, ka -2.

$$-2x^{2}-2xy-2yx-3y^{2}+4x^{2}$$

Pahekotia te -2xy me -2yx, ka -4xy.

$$-2x^{2}-4xy-3y^{2}+4x^{2}$$

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

$$2x^{2}-4xy-3y^{2}$$