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

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

Aromātai

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

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}.

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

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

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

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

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

Whakaarohia te \left(3x+2y\right)\left(3x-2y\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}.

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

Whakarohaina te \left(3x\right)^{2}.

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

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$4x^{2}-y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)$$

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

$$4x^{2}-y^{2}-\left(9x^{2}-2^{2}y^{2}\right)$$

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

$$4x^{2}-y^{2}-\left(9x^{2}-4y^{2}\right)$$

Hei kimi i te tauaro o 9x^{2}-4y^{2}, kimihia te tauaro o ia taurangi.

$$4x^{2}-y^{2}-9x^{2}-\left(-4y^{2}\right)$$

Ko te tauaro o -4y^{2} ko 4y^{2}.

$$4x^{2}-y^{2}-9x^{2}+4y^{2}$$

Pahekotia te 4x^{2} me -9x^{2}, ka -5x^{2}.

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

Pahekotia te -y^{2} me 4y^{2}, ka 3y^{2}.

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

Whakaroha

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

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}.

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

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

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

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

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

Whakaarohia te \left(3x+2y\right)\left(3x-2y\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}.

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

Whakarohaina te \left(3x\right)^{2}.

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

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$4x^{2}-y^{2}-\left(9x^{2}-\left(2y\right)^{2}\right)$$

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

$$4x^{2}-y^{2}-\left(9x^{2}-2^{2}y^{2}\right)$$

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

$$4x^{2}-y^{2}-\left(9x^{2}-4y^{2}\right)$$

Hei kimi i te tauaro o 9x^{2}-4y^{2}, kimihia te tauaro o ia taurangi.

$$4x^{2}-y^{2}-9x^{2}-\left(-4y^{2}\right)$$

Ko te tauaro o -4y^{2} ko 4y^{2}.

$$4x^{2}-y^{2}-9x^{2}+4y^{2}$$

Pahekotia te 4x^{2} me -9x^{2}, ka -5x^{2}.

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

Pahekotia te -y^{2} me 4y^{2}, ka 3y^{2}.

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