Whakaoti i te (2x+y)^2-(2x-y)(2x+y)-4xy

$$( 2 x + y ) ^ { 2 } - ( 2 x - y ) ( 2 x + y ) - 4 x y$$

Aromātai

$$2y^{2}$$

Ngā Upane Otinga

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

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

Whakaarohia te \left(2x-y\right)\left(2x+y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Whakarohaina te \left(2x\right)^{2}.

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

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

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

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

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

Pahekotia te 4x^{2} me -4x^{2}, ka 0.

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

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

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

Pahekotia te 4xy me -4xy, ka 0.

$$2y^{2}$$

Whakaroha

$$2y^{2}$$

Ngā Upane Otinga

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

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

Whakaarohia te \left(2x-y\right)\left(2x+y\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Whakarohaina te \left(2x\right)^{2}.

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

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

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

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

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

Pahekotia te 4x^{2} me -4x^{2}, ka 0.

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

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

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

Pahekotia te 4xy me -4xy, ka 0.

$$2y^{2}$$