Whakaoti i te (4x-y)(7x+4y)-(2x+8y)(2x+5y)

$$( 4 x - y ) ( 7 x + 4 y ) - ( 2 x + 8 y ) ( 2 x + 5 y )$$

Aromātai

$$24x^{2}-17xy-44y^{2}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 4x-y ki ia tau o 7x+4y.

$$28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Pahekotia te 16xy me -7yx, ka 9xy.

$$28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+8y ki ia tau o 2x+5y.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)$$

Pahekotia te 10xy me 16xy, ka 26xy.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

Hei kimi i te tauaro o 4x^{2}+26xy+40y^{2}, kimihia te tauaro o ia taurangi.

$$28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}$$

Pahekotia te 28x^{2} me -4x^{2}, ka 24x^{2}.

$$24x^{2}+9xy-4y^{2}-26xy-40y^{2}$$

Pahekotia te 9xy me -26xy, ka -17xy.

$$24x^{2}-17xy-4y^{2}-40y^{2}$$

Pahekotia te -4y^{2} me -40y^{2}, ka -44y^{2}.

$$24x^{2}-17xy-44y^{2}$$

Whakaroha

$$24x^{2}-17xy-44y^{2}$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 4x-y ki ia tau o 7x+4y.

$$28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Pahekotia te 16xy me -7yx, ka 9xy.

$$28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+8y ki ia tau o 2x+5y.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)$$

Pahekotia te 10xy me 16xy, ka 26xy.

$$28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

Hei kimi i te tauaro o 4x^{2}+26xy+40y^{2}, kimihia te tauaro o ia taurangi.

$$28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}$$

Pahekotia te 28x^{2} me -4x^{2}, ka 24x^{2}.

$$24x^{2}+9xy-4y^{2}-26xy-40y^{2}$$

Pahekotia te 9xy me -26xy, ka -17xy.

$$24x^{2}-17xy-4y^{2}-40y^{2}$$

Pahekotia te -4y^{2} me -40y^{2}, ka -44y^{2}.

$$24x^{2}-17xy-44y^{2}$$