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

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

Aromātai

$$2x\left(6x+7y\right)$$

Ngā Upane Otinga

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

$$3x^{2}+2xy-9yx-6y^{2}-3\left(-3x-y\right)\left(x+2y\right)$$

Pahekotia te 2xy me -9yx, ka -7xy.

$$3x^{2}-7xy-6y^{2}-3\left(-3x-y\right)\left(x+2y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te -3x-y.

$$3x^{2}-7xy-6y^{2}+\left(9x+3y\right)\left(x+2y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 9x+3y ki ia tau o x+2y.

$$3x^{2}-7xy-6y^{2}+9x^{2}+18xy+3yx+6y^{2}$$

Pahekotia te 18xy me 3yx, ka 21xy.

$$3x^{2}-7xy-6y^{2}+9x^{2}+21xy+6y^{2}$$

Pahekotia te 3x^{2} me 9x^{2}, ka 12x^{2}.

$$12x^{2}-7xy-6y^{2}+21xy+6y^{2}$$

Pahekotia te -7xy me 21xy, ka 14xy.

$$12x^{2}+14xy-6y^{2}+6y^{2}$$

Pahekotia te -6y^{2} me 6y^{2}, ka 0.

$$12x^{2}+14xy$$

Whakaroha

$$12x^{2}+14xy$$

Ngā Upane Otinga

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

$$3x^{2}+2xy-9yx-6y^{2}-3\left(-3x-y\right)\left(x+2y\right)$$

Pahekotia te 2xy me -9yx, ka -7xy.

$$3x^{2}-7xy-6y^{2}-3\left(-3x-y\right)\left(x+2y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te -3x-y.

$$3x^{2}-7xy-6y^{2}+\left(9x+3y\right)\left(x+2y\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o 9x+3y ki ia tau o x+2y.

$$3x^{2}-7xy-6y^{2}+9x^{2}+18xy+3yx+6y^{2}$$

Pahekotia te 18xy me 3yx, ka 21xy.

$$3x^{2}-7xy-6y^{2}+9x^{2}+21xy+6y^{2}$$

Pahekotia te 3x^{2} me 9x^{2}, ka 12x^{2}.

$$12x^{2}-7xy-6y^{2}+21xy+6y^{2}$$

Pahekotia te -7xy me 21xy, ka 14xy.

$$12x^{2}+14xy-6y^{2}+6y^{2}$$

Pahekotia te -6y^{2} me 6y^{2}, ka 0.

$$12x^{2}+14xy$$