Whakaoti i te (a+y-2)(a+y+2)-(a-y)^2-4(ay-1)+1

$$( a + y - 2 ) ( a + y + 2 ) - ( a - y ) ^ { 2 } - 4 ( a y - 1 ) + 1$$

Aromātai

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Ngā Upane Otinga

Whakaarohia te \left(a+y-2\right)\left(a+y+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}, ina a=a+y me b=2. Pūrua 2.

$$\left(a+y\right)^{2}-4-\left(a-y\right)^{2}-4\left(ay-1\right)+1$$

Whakamahia te ture huarua \left(p+q\right)^{2}=p^{2}+2pq+q^{2} hei whakaroha \left(a+y\right)^{2}.

$$a^{2}+2ay+y^{2}-4-\left(a-y\right)^{2}-4\left(ay-1\right)+1$$

Whakamahia te ture huarua \left(p-q\right)^{2}=p^{2}-2pq+q^{2} hei whakaroha \left(a-y\right)^{2}.

$$a^{2}+2ay+y^{2}-4-\left(a^{2}-2ay+y^{2}\right)-4\left(ay-1\right)+1$$

Hei kimi i te tauaro o a^{2}-2ay+y^{2}, kimihia te tauaro o ia taurangi.

$$a^{2}+2ay+y^{2}-4-a^{2}+2ay-y^{2}-4\left(ay-1\right)+1$$

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

$$2ay+y^{2}-4+2ay-y^{2}-4\left(ay-1\right)+1$$

Pahekotia te 2ay me 2ay, ka 4ay.

$$4ay+y^{2}-4-y^{2}-4\left(ay-1\right)+1$$

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

$$4ay-4-4\left(ay-1\right)+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te ay-1.

$$4ay-4-4ay+4+1$$

Pahekotia te 4ay me -4ay, ka 0.

$$-4+4+1$$

Tāpirihia te -4 ki te 4, ka 0.

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Tauwehe

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