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

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

Aromātai

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

Ngā Upane Otinga

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}.

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

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

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

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

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

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

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

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

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

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

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

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

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

Whakaroha

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

Ngā Upane Otinga

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}.

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

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

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

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

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

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

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

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

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

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

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

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

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