Whakaoti i te (x+2)(x-2)-(x-1)(x+5)

$$(x+2)(x-2)-(x-1)(x+5)$$

Aromātai

$$1-4x$$

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}.

$$x^{2}-2^{2}-\left(x-1\right)\left(x+5\right)$$

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

$$x^{2}-4-\left(x-1\right)\left(x+5\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x+5.

$$x^{2}-4-\left(x^{2}+5x-x-5\right)$$

Pahekotia te 5x me -x, ka 4x.

$$x^{2}-4-\left(x^{2}+4x-5\right)$$

Hei kimi i te tauaro o x^{2}+4x-5, kimihia te tauaro o ia taurangi.

$$x^{2}-4-x^{2}-4x-\left(-5\right)$$

Ko te tauaro o -5 ko 5.

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

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

$$-4-4x+5$$

Tāpirihia te -4 ki te 5, ka 1.

$$1-4x$$

Whakaroha

$$1-4x$$

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}.

$$x^{2}-2^{2}-\left(x-1\right)\left(x+5\right)$$

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

$$x^{2}-4-\left(x-1\right)\left(x+5\right)$$

Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x+5.

$$x^{2}-4-\left(x^{2}+5x-x-5\right)$$

Pahekotia te 5x me -x, ka 4x.

$$x^{2}-4-\left(x^{2}+4x-5\right)$$

Hei kimi i te tauaro o x^{2}+4x-5, kimihia te tauaro o ia taurangi.

$$x^{2}-4-x^{2}-4x-\left(-5\right)$$

Ko te tauaro o -5 ko 5.

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

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

$$-4-4x+5$$

Tāpirihia te -4 ki te 5, ka 1.

$$1-4x$$