Whakaoti i te (2x+y)(5x-3y)-(x+y)(5x-3y)

$$(2x+y)(5x-3y)-(x+y)(5x-3y)$$

Aromātai

$$x\left(5x-3y\right)$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+y ki ia tau o 5x-3y.

$$10x^{2}-6xy+5yx-3y^{2}-\left(x+y\right)\left(5x-3y\right)$$

Pahekotia te -6xy me 5yx, ka -xy.

$$10x^{2}-xy-3y^{2}-\left(x+y\right)\left(5x-3y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+y ki ia tau o 5x-3y.

$$10x^{2}-xy-3y^{2}-\left(5x^{2}-3xy+5yx-3y^{2}\right)$$

Pahekotia te -3xy me 5yx, ka 2xy.

$$10x^{2}-xy-3y^{2}-\left(5x^{2}+2xy-3y^{2}\right)$$

Hei kimi i te tauaro o 5x^{2}+2xy-3y^{2}, kimihia te tauaro o ia taurangi.

$$10x^{2}-xy-3y^{2}-5x^{2}-2xy-\left(-3y^{2}\right)$$

Ko te tauaro o -3y^{2} ko 3y^{2}.

$$10x^{2}-xy-3y^{2}-5x^{2}-2xy+3y^{2}$$

Pahekotia te 10x^{2} me -5x^{2}, ka 5x^{2}.

$$5x^{2}-xy-3y^{2}-2xy+3y^{2}$$

Pahekotia te -xy me -2xy, ka -3xy.

$$5x^{2}-3xy-3y^{2}+3y^{2}$$

Pahekotia te -3y^{2} me 3y^{2}, ka 0.

$$5x^{2}-3xy$$

Whakaroha

$$5x^{2}-3xy$$

Ngā Upane Otinga

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 2x+y ki ia tau o 5x-3y.

$$10x^{2}-6xy+5yx-3y^{2}-\left(x+y\right)\left(5x-3y\right)$$

Pahekotia te -6xy me 5yx, ka -xy.

$$10x^{2}-xy-3y^{2}-\left(x+y\right)\left(5x-3y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x+y ki ia tau o 5x-3y.

$$10x^{2}-xy-3y^{2}-\left(5x^{2}-3xy+5yx-3y^{2}\right)$$

Pahekotia te -3xy me 5yx, ka 2xy.

$$10x^{2}-xy-3y^{2}-\left(5x^{2}+2xy-3y^{2}\right)$$

Hei kimi i te tauaro o 5x^{2}+2xy-3y^{2}, kimihia te tauaro o ia taurangi.

$$10x^{2}-xy-3y^{2}-5x^{2}-2xy-\left(-3y^{2}\right)$$

Ko te tauaro o -3y^{2} ko 3y^{2}.

$$10x^{2}-xy-3y^{2}-5x^{2}-2xy+3y^{2}$$

Pahekotia te 10x^{2} me -5x^{2}, ka 5x^{2}.

$$5x^{2}-xy-3y^{2}-2xy+3y^{2}$$

Pahekotia te -xy me -2xy, ka -3xy.

$$5x^{2}-3xy-3y^{2}+3y^{2}$$

Pahekotia te -3y^{2} me 3y^{2}, ka 0.

$$5x^{2}-3xy$$