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

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

Aromātai

$$5\left(x^{2}-y^{2}\right)$$

Ngā Upane Otinga

Whakareatia te 3x-2y ki te 3x-2y, ka \left(3x-2y\right)^{2}.

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

Whakareatia te 2x-3y ki te 2x-3y, ka \left(2x-3y\right)^{2}.

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

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3x-2y\right)^{2}.

$$9x^{2}-12xy+4y^{2}-\left(2x-3y\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3y\right)^{2}.

$$9x^{2}-12xy+4y^{2}-\left(4x^{2}-12xy+9y^{2}\right)$$

Hei kimi i te tauaro o 4x^{2}-12xy+9y^{2}, kimihia te tauaro o ia taurangi.

$$9x^{2}-12xy+4y^{2}-4x^{2}-\left(-12xy\right)-9y^{2}$$

Ko te tauaro o -12xy ko 12xy.

$$9x^{2}-12xy+4y^{2}-4x^{2}+12xy-9y^{2}$$

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

$$5x^{2}-12xy+4y^{2}+12xy-9y^{2}$$

Pahekotia te -12xy me 12xy, ka 0.

$$5x^{2}+4y^{2}-9y^{2}$$

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

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

Whakaroha

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

Ngā Upane Otinga

Whakareatia te 3x-2y ki te 3x-2y, ka \left(3x-2y\right)^{2}.

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

Whakareatia te 2x-3y ki te 2x-3y, ka \left(2x-3y\right)^{2}.

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

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3x-2y\right)^{2}.

$$9x^{2}-12xy+4y^{2}-\left(2x-3y\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(2x-3y\right)^{2}.

$$9x^{2}-12xy+4y^{2}-\left(4x^{2}-12xy+9y^{2}\right)$$

Hei kimi i te tauaro o 4x^{2}-12xy+9y^{2}, kimihia te tauaro o ia taurangi.

$$9x^{2}-12xy+4y^{2}-4x^{2}-\left(-12xy\right)-9y^{2}$$

Ko te tauaro o -12xy ko 12xy.

$$9x^{2}-12xy+4y^{2}-4x^{2}+12xy-9y^{2}$$

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

$$5x^{2}-12xy+4y^{2}+12xy-9y^{2}$$

Pahekotia te -12xy me 12xy, ka 0.

$$5x^{2}+4y^{2}-9y^{2}$$

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

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