Whakaoti i te (x-2)(x+2)-(x-1)(x-3)

$$(x-2)(x+2)-(x-1)(x-3)$$

Aromātai

$$4x-7$$

Ngā Upane Otinga

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

$$x^{2}-2^{2}-\left(x-1\right)\left(x-3\right)$$

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

$$x^{2}-4-\left(x-1\right)\left(x-3\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x-3.

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

Pahekotia te -3x me -x, ka -4x.

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

Hei kimi i te tauaro o x^{2}-4x+3, kimihia te tauaro o ia taurangi.

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

Ko te tauaro o -4x ko 4x.

$$x^{2}-4-x^{2}+4x-3$$

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

$$-4+4x-3$$

Tangohia te 3 i te -4, ka -7.

$$-7+4x$$

Whakaroha

$$4x-7$$

Ngā Upane Otinga

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

$$x^{2}-2^{2}-\left(x-1\right)\left(x-3\right)$$

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

$$x^{2}-4-\left(x-1\right)\left(x-3\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x-3.

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

Pahekotia te -3x me -x, ka -4x.

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

Hei kimi i te tauaro o x^{2}-4x+3, kimihia te tauaro o ia taurangi.

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

Ko te tauaro o -4x ko 4x.

$$x^{2}-4-x^{2}+4x-3$$

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

$$-4+4x-3$$

Tangohia te 3 i te -4, ka -7.

$$-7+4x$$