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

$$( x + 2 y ) ^ { 2 } - ( x + y ) ( 3 x - y ) - 5 y ^ { 2 }$$

Aromātai

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2y\right)^{2}.

$$x^{2}+4xy+4y^{2}-\left(x+y\right)\left(3x-y\right)-5y^{2}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x+y ki te 3x-y ka whakakotahi i ngā kupu rite.

$$x^{2}+4xy+4y^{2}-\left(3x^{2}+2xy-y^{2}\right)-5y^{2}$$

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

$$x^{2}+4xy+4y^{2}-3x^{2}-2xy+y^{2}-5y^{2}$$

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

$$-2x^{2}+4xy+4y^{2}-2xy+y^{2}-5y^{2}$$

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

$$-2x^{2}+2xy+4y^{2}+y^{2}-5y^{2}$$

Pahekotia te 4y^{2} me y^{2}, ka 5y^{2}.

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

Pahekotia te 5y^{2} me -5y^{2}, ka 0.

$$-2x^{2}+2xy$$

Whakaroha

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

Ngā Upane Otinga

Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+2y\right)^{2}.

$$x^{2}+4xy+4y^{2}-\left(x+y\right)\left(3x-y\right)-5y^{2}$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x+y ki te 3x-y ka whakakotahi i ngā kupu rite.

$$x^{2}+4xy+4y^{2}-\left(3x^{2}+2xy-y^{2}\right)-5y^{2}$$

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

$$x^{2}+4xy+4y^{2}-3x^{2}-2xy+y^{2}-5y^{2}$$

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

$$-2x^{2}+4xy+4y^{2}-2xy+y^{2}-5y^{2}$$

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

$$-2x^{2}+2xy+4y^{2}+y^{2}-5y^{2}$$

Pahekotia te 4y^{2} me y^{2}, ka 5y^{2}.

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

Pahekotia te 5y^{2} me -5y^{2}, ka 0.

$$-2x^{2}+2xy$$